(a) Use the identity cos'0 + sin 0 = 1 to prove that tanʼ0 = sec² 0 – 1

Q: Evaluate the following leaving the result as an EXACT value. cos⁡(tan^-1⁡(4/3)+sin^−1⁡(−2/5))

A: We have to solve the problem

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

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Q: -Tt/2 S 3 sin 0 + 5 cos0 d0 -t/2

A:

Q: how do i solve

A: Step 1:Step 2:

Q: These formulas are found from taking the square root of the power reduction formulas and substitute…

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Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

Q: First, recall that sin²2 (0) = 1 - cos² (0). Thus, substitute (1 - cos²(0)) for sin²(0) in the given…

A: Now we know that sin^2(theta)=1-cos^2(theta)

Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

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Q: -1 x + cos -1 Prove the identity sin' value of x that satisfies the equation 2. Use this identity to…

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Q: Evalnate without using Calculator (^) Cos 2 () -9 (6) Sin 15°

A: a) We know that Therefore, we have

Q: Find the exact value of cos2\theta if sin2\theta =(3)/(4) and \theta is between 0\deg and 90\deg .

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Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: (sin A)^4-(cos A)^4

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Q: Find cos(sin^−1(−1/2))

A: Trigonometric

Q: 3) Solve the equation cos x + sin x = v3/2 for 0sx<2p

A: Topic - trigonometric Functions

Q: Find the exact Value of -1 Cos (tan'a + Sin ¹ 1/27) 13

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Q: 5- When the (1+cos 0 = 2 sine),the value of (0) from 0° to 360°.

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Q: sin-'x - cos-1x = " Find the value of x

A: Given that sin-1 (x)-cos-1 (x)=π6, Our Aim is to find the value of x=?