A = sin([-2, -pi, pi/6, 5*pi/7, 11]) A = -0. 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). Also, you'll find there a simple table with values of sine for basic angles, such as \sin (0) … Find the value of cosecant. Find the Trig Value sin (x)=-4/5. Since for a … This is where you use the double angle identity in which: sin2A=2sinA*cosA. Cooking Calculators. Free math problem solver answers your algebra, geometry Algebra. As x goes from 0 to 1/6, we have that θ goes from 0 to π/6. sin(θ) = 4 5 sin ( θ) = 4 5.5 4 = )0 ( nis 5 4 = )0(nis . Discovering the hypotenuse of a right triangle using only an angle and a side might seem like a mathematical exercise reserved for the classroom. Rearrange both: sin^2x=1-cos^2x and cos^2x=cos2x+sin^2x 3. 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. The next step is to draw a right triangle in which the sinA is 4/5. Hence, I = ∫ 01/6 1−9x2dx = ∫ 0π/6 1−sin2(θ) 3cos(θ)dθ Example 5. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Use the definition of sine to find the known sides of the unit circle right triangle. sin(t) = sin(α) and cos(t) = − cos(α) sin(t) = − sin(β) and cos(t) = cos(β) Figure 16. Step 6.92729…+2pin,A=pi-0. Also, dx= 3cos(θ)dθ. 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.5. Find the Other Trig Values in Quadrant II sin (0)=4/5.5. use one of the double angle formula for cosines.1. Take the inverse sine of both sides of the equation to extract x x from inside the sine.28 units.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. Free trigonometric equation calculator - solve trigonometric equations step-by-step Simplify Trigonometric Expressions Calculator. sin(θ) = − 4 5 sin ( θ) = - 4 5. Step 6. Substitute cos2x+sin^2x into sin^2x=1-cos^2x for cos^2x 4. Compute the sine function for these numbers. sin(θ) = opposite hypotenuse sin ( θ) = opposite hypotenuse.shtgnel fo soitar dna selgna neewteb spihsnoitaler htiw denrecnoc scitamehtam fo hcnarb a si yrtemonogirT .5. Multiply by . x = arcsin(−4 5) x = arcsin ( - 4 5) Simplify the right side. Given: Side a (opposite side) = 20 units, Angle θ = 45 degrees. 1 − sin ( x) 2 csc ( x) 2 − 1. Find the value of tan [cos − 1 (4 5) + tan − 1 (2 3)] sinx = 4/5, x is in quadrant I or II.6 petS . To prove a trigonometric identity you have to show that one side of the equation can be transformed into the other Read More. The degree cannot be determined because sin(θ)− 4 5 sin ( θ) - 4 5 is not a polynomial.

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Examples. Question. Use the definition of sine to find the known sides of the unit circle right triangle.9093 -0. sin^{-1}\left(\frac{4}{5}\right) en. cosx =3/5 or -3/5, cosx = + or - sqr (1-sin^2x) = sqr (1-16/25) = sqr (9/25 = 3/5. Subtract full rotations of until the angle is greater than or equal to and less than . Expand: sin^2x=1-cos2x-sin^2x 5. sin4(x) = (sin4x)1.5000 0. Enter a problem. From geometry, this turns out to be a 3-4-5 right triangle, hence cosA=3/5. 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. Applications . Algebra. # Inverse sine rule.2.7818 -1. sin(0) = opposite hypotenuse sin ( 0) = opposite hypotenuse.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. The exact value of is . If #sin x= 4/5#, how do you find cos x? Trigonometry Right Triangles Relating Trigonometric Functions. Hope this helps.92729521. However Domain and Range of Basic Inverse Trigonometric Functions.92729…+2pin Find the Other Trig Values in Quadrant IV sin (theta)=-4/5.rnardauq tsrif eht ni eulav eht eb ot 5/3 = )52/9(trqs= )52/61- 1(trqs = x soc )x 2^nis-1(trqs = xsoc ytitnedi lacirtemongirT esU 5/3 =xsoc emas eht yltcaxe eb lliw sedis gniniamer eht rof elur eht ,a edis rof elur eht evired ll’ew ,woN )C(⁡nis/c = )B(⁡nis/b = )A(⁡nis/a :si hcihw noitcnuf enis fo elur eht morf devired si enis esrevni rof elur ehT .2. 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=0.2.esunetopyh etisoppo = )x ( nis esunetopyh etisoppo = )x(nis .2. Check out all of our online calculators here. The final answer is . 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. Find the adjacent side of the unit circle triangle. Because these numbers are not symbolic objects, sin returns floating-point results. Math Input.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. The field emerged in the Hellenistic world during … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). sin(θ)− 4 5 = 0 sin ( θ) - 4 5 = 0. it's negative because 2x is in quadrant II or III where cosines are negative. Practice your math skills and learn step by step with our math solver. The quadrant determines the sign on each of the values. Using the sine function: sin (4 5 ∘) = a / H 1 / $\sqrt{2}$ = 20 / H H ≈ 28.

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71735609… 0.elgnairt elcric tinu eht fo edis tnecajda eht dniF . Extended Keyboard. List the points in a table. I know what you did last summer…Trigonometric Proofs. Get detailed solutions to your math problems with our Simplify Trigonometric Expressions step-by-step calculator.eulav girt hcae ot noitulos eht si sihT 4 5 - = )x ( csc 4 5 − = )x(csc spets erom rof paT . Exact Form: sin(4 5) sin ( 4 5) Decimal Form: 0. The function takes negative values for angles larger than 180°.seulav eht fo hcae no ngis eht senimreted tnardauq ehT .0000.2. Find the Degree sin (theta)=4/5. Inverse sine is represented as sin-1 or arcsin. Solution.4. Free trigonometric function calculator - evaluate trigonometric functions step-by-step.92729521 x = - 0. 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. Free trigonometric identity calculator - verify trigonometric identities step-by-step. From cos(α) = a/c follows that the sine of any angle is always less than or equal to one. Next substitute the numbers to determine sin2A in which is: sin2A=2*4/5*3/5=24/25. 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. The quadrant determines the sign on each of the values. Step 6. Ex 7. Compute the sine function for the numbers converted to sin (x) Natural Language.6. 1 Answer bp … Trigonometry. Step 6. The sine function is negative in the third and fourth quadrants. Step 7. Subtract 4 5 4 5 from both sides of the equation.3.0000 0. Not a polynomial. Go! 2. sin(x) = − 4 5 sin ( x) = - 4 5. Related Symbolab blog posts. Divide both sides by 2, leaving sin^2x= 1/2(1-cos2x). Use the definition of sine to find the known sides of the unit circle right triangle. Tap for more steps x = −0. Add sin^2x to both sides, giving 2sin^2x=1-cos2x 6.Find the Exact Value sin (4/5) sin( 4 5) sin ( 4 5) The result can be shown in multiple forms. cos2x = cos^2 - sin^2= 9/25 -16/25 = - 7/25.