9093 -0.2. or use cos2x = 1-2sin^2x = 1 - 2 (4/5)^2 = 1-2 (16/25 Depending on its arguments, sin returns floating-point or exact symbolic results. sin(x) = opposite hypotenuse sin ( x) = opposite hypotenuse. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Using the sine function: sin (4 5 ∘) = a / H 1 / $\sqrt{2}$ = 20 / H H ≈ 28. Discovering the hypotenuse of a right triangle using only an angle and a side might seem like a mathematical exercise reserved for the classroom. The field emerged in the Hellenistic world during … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Enter a problem. Take the inverse sine of both sides of the equation to extract x x from inside the sine. Tap for more steps x = −0. Go! 2. Practice your math skills and learn step by step with our math solver.7818 -1.92729…+2pin Find the Other Trig Values in Quadrant IV sin (theta)=-4/5.2. Step 6.2. Find the adjacent side of the unit circle triangle.0000 0. Cooking Calculators. Use the definition of sine to find the known sides of the unit circle right triangle. sin(θ) = opposite hypotenuse sin ( θ) = opposite hypotenuse. sin(θ) = 4 5 sin ( θ) = 4 5. What is trigonometry used for? Trigonometry is used in a variety of fields and … Scroll down to understand what is a sine and to find the sine definition, as well as simple examples and the sine graph. Use the definition of sine to find the known sides of the unit circle right triangle. Check out all of our online calculators here.stsop golb balobmyS detaleR . sin(x) = − 4 5 sin ( x) = - 4 5 cos(x) = 3 5 cos ( x) = 3 5 tan(x) … Trigonometry Solve for ? sin (x)=-4/5 sin(x) = − 4 5 sin ( x) = - 4 5 Take the inverse sine of both sides of the equation to extract x x from inside the sine.6. A = sin([-2, -pi, pi/6, 5*pi/7, 11]) A = -0. sin(0) = opposite hypotenuse sin ( 0) = opposite hypotenuse.92729521. Ex 7. # Inverse sine rule. Free math problem solver answers your algebra, geometry Algebra. Also, dx= 3cos(θ)dθ. Free trigonometric identity calculator - verify trigonometric identities step-by-step. The next step is to draw a right triangle in which the sinA is 4/5.2. Find the Degree sin (theta)=4/5.0-ip=A,nip2+…92729. sin(θ) = − 4 5 sin ( θ) = - 4 5. sin^{-1}\left(\frac{4}{5}\right) en. Step 6. Step 6.

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The rule for inverse sine is derived from the rule of sine function which is: a/sin⁡(A) = b/sin⁡(B) = c/sin⁡(C) Now, we’ll derive the rule for side a, the rule for the remaining sides will be exactly the same cosx= 3/5 Use Trignometrical identity cosx = sqrt(1-sin^2 x) cos x = sqrt(1 -16/25) =sqrt(9/25) = 3/5 to be the value in the first quadranr.5. Recall that an angle’s reference angle is the acute angle, t, formed by the terminal side of … sin-1 (opposite/hypotenuse) = θ Inverse sine symbol.5. As x goes from 0 to 1/6, we have that θ goes from 0 to π/6. Subtract 4 5 4 5 from both sides of the equation. Get detailed solutions to your math problems with our Simplify Trigonometric Expressions step-by-step calculator.1. 1 Answer bp … Trigonometry. If #sin x= 4/5#, how do you find cos x? Trigonometry Right Triangles Relating Trigonometric Functions. Find the adjacent side of the unit circle Detailed step by step solution for sin(A)= 4/5 In the illustration below, sin(α) = a/c and sin(β) = b/c. Expand: sin^2x=1-cos2x-sin^2x 5.senisoc rof alumrof elgna elbuod eht fo eno esu . Solution. Jokes apart, sin4(x) = (1 − cos2(x))2 = (1 − cos(2x) 2)2 = 1 4 − cos(2x) 2 + cos2(2x) 4 hence: sin4(x) = 3 8 − cos(2x) 2 + cos(4x) 8 = 3 − 4cos(2x) + cos(4x) 8. 1 − sin ( x) 2 csc ( x) 2 − 1. Hope this helps. sin4(x) = (sin4x)1. The degree cannot be determined because sin(θ)− 4 5 sin ( θ) - 4 5 is not a polynomial. From geometry, this turns out to be a 3-4-5 right triangle, hence cosA=3/5.)x2soc-1(2/1 =x2^nis gnivael ,2 yb sedis htob ediviD . Substitute cos2x+sin^2x into sin^2x=1-cos^2x for cos^2x 4. cosx =3/5 or -3/5, cosx = + or - sqr (1-sin^2x) = sqr (1-16/25) = sqr (9/25 = 3/5. Tap for more steps csc(x) = − 5 4 csc ( x) = - 5 4 This is the solution to each trig value. it's negative because 2x is in quadrant II or III where cosines are negative. sin(t) = sin(α) and cos(t) = − cos(α) sin(t) = − sin(β) and cos(t) = cos(β) Figure 16. Question. Hence, I = ∫ 01/6 1−9x2dx = ∫ 0π/6 1−sin2(θ) 3cos(θ)dθ Example 5. Use the definition of sine to find the known sides of the unit circle right triangle. The exact value of is . sin(θ)− 4 5 = 0 sin ( θ) - 4 5 = 0. Because these numbers are not symbolic objects, sin returns floating-point results. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. x = arcsin(−4 5) x = arcsin ( … What is the general solution for sin(A)= 4/5 ? The general solution for sin(A)= 4/5 is A=0. Also, you'll find there a simple table with values of sine for basic angles, such as \sin (0) … Find the value of cosecant. The quadrant determines the sign on each of the values.5. x = arcsin(−4 5) x = arcsin ( - 4 5) Simplify the right side. The quadrant determines the sign on each of the values. Rearrange both: sin^2x=1-cos^2x and cos^2x=cos2x+sin^2x 3.28 units. Compute the sine function for these numbers. The function takes negative values for angles larger than 180°. To find the second solution Explanation: For multivalued y = xsin−1x we can use the equations xy = sin−1x 1−4x22 Explanation: Note that (sin−1(x)) = 1 −x21 then by For the last part, let x= 3sin(θ). Find the Trig Value sin (x)=-4/5. Find the Other Trig Values in Quadrant II sin (0)=4/5.

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Add sin^2x to both sides, giving 2sin^2x=1-cos2x 6.71735609… 0. naht ssel dna ot lauqe ro naht retaerg si elgna eht litnu fo snoitator lluf tcartbuS . Applications . Examples. cos2x = cos^2 - sin^2= 9/25 -16/25 = - 7/25. I have just applied the Pythagorean theorem ( sin2z + cos2z = 1) and twice the cosine duplication formula ( cos(2z) = 2cos2z − 1, giving cos2(z) = 1 Angle β has the same cosine value as angle t; the sine values are opposites. sin(x) = − 4 5 sin ( x) = - 4 5. Inverse sine is represented as sin-1 or arcsin. However Domain and Range of Basic Inverse Trigonometric Functions. The quadrant determines the sign on each of the values. Multiply by . Step 6.0 0005. Free trigonometric equation calculator - solve trigonometric equations step-by-step Simplify Trigonometric Expressions Calculator. Step 6. The final answer is . Since for a … This is where you use the double angle identity in which: sin2A=2sinA*cosA.arbeglA .4. To prove a trigonometric identity you have to show that one side of the equation can be transformed into the other Read More. Math Input.3. Free trigonometric function calculator - evaluate trigonometric functions step-by-step. sin(0) = 4 5 sin ( 0) = 4 5. Not a polynomial.71735609 … Free math … Trigonometry Examples Popular Problems Trigonometry Solve for x sin (x)=4/5 sin(x) = 4 5 sin ( x) = 4 5 Take the inverse sine of both sides of the equation to extract x x from inside … Trigonometry.0000. I know what you did last summer…Trigonometric Proofs. Extended Keyboard.92729521 x = - 0. Exact Form: sin(4 5) sin ( 4 5) Decimal Form: 0.5.Find the Exact Value sin (4/5) sin( 4 5) sin ( 4 5) The result can be shown in multiple forms. Given: Side a (opposite side) = 20 units, Angle θ = 45 degrees. The sine function is negative in the third and fourth quadrants.2. From cos(α) = a/c follows that the sine of any angle is always less than or equal to one. Find the adjacent side of the unit circle triangle. Step 7. Compute the sine function for the numbers converted to sin (x) Natural Language. Next substitute the numbers to determine sin2A in which is: sin2A=2*4/5*3/5=24/25. Find the value of tan [cos − 1 (4 5) + tan − 1 (2 3)] sinx = 4/5, x is in quadrant I or II. List the points in a table.3, 10 Integrate the function 𝑠𝑖𝑛4 𝑥 ∫1 sin^4⁡𝑥 𝑑𝑥 =∫1 (sin^2⁡𝑥 )^2 𝑑𝑥 =∫1 ((1 − cos⁡2𝑥)/2)^2 𝑑𝑥 =1/4 ∫1 (1−cos⁡2𝑥 )^2 𝑑𝑥 We know that 𝑐𝑜𝑠⁡2𝜃=1−2 〖𝑠𝑖𝑛〗^2⁡𝜃 2 〖𝑠𝑖𝑛〗^2⁡𝜃=1−𝑐𝑜𝑠⁡2𝜃 〖𝑠𝑖𝑛〗^2⁡𝜃=(1 − 𝑐𝑜𝑠⁡2𝜃)/2 Replace 𝜃 by 𝑥 sin(x) = − 4 5 sin ( x) = - 4 5.