sin(a – B) (a) =1- cot a tan B sin a cos B

Q: Calculating derivatives Find the derivative of the followingfunctions.

A:

Q: sin(x – y) cos x sin y tan x cot y – 1 Prove the identity:

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Q: sin xcos* xdx х cos

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Q: tan (x)sın (x)- sın (x)=0 - sin (x)=0

A: Given; tan(x)sin(x)-Sin(x)=0.

Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: 12 a. sin b. cos 2 C. tan 2 || || 0IN ON

A: sinθ2=±1-cosθ2cosθ2=±1+cosθ2

Q: sin' xcos* x dx x cos

A: Perform integration

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: To evaluate: ∫sin7xcos5x1-sinx21+sinx2dx

Q: cos( – x) + tan( – x)sin( – 2)

A:

Q: Cos + sin a tan a= sec a

A: Yes there are 5 basic steps, the step by step solution is here

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: exp in)) (exp(- - ίπ) dxa 0.3679 cos TT - i sin Tt -0.3679 - exp(cos Tt - i sin Tt)

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Q: CoS 2X sin x,co

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Q: A. Find the exact value of the composite function. sin sin 4

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Q: A+ sin r then If (tan z + sec z) B - sin a A. B = %3D

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Q: cos(x – y) Prove that tan y + cot x sin x cos y

A: We need to prove cosx-ysin x cos y=tan y+ cot x                  Now, we will use the formula…

Q: cos x = sin 2x, x I SO 3.

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Q: Show that the functions f and g are identically equal.

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Q: establish each identity.

A: sinα-cosβ2+cosβ + sinαcosβ-sinα

Q: tan x (sin xXcos x) 1+ tan x L.S. R.S.

A: Solution of trigonometric Identity

Q: 2 cos Ca) sin Ca) da J z sin(a) cos"(a)

A: Hey, since there are multiple questions posted, we will answer one question. If you want any…

Q: 12. sin(a+B) = Sin A Cos 3 SinBlosA 11. 3.

A:

Q: Verify the identity: 1+ sin t 1- sin t (sec t + tan t)

A: Given,           secx+tanx2=1+sint1-sint

Q: SI sin A+tan A = sin A %3D 1+ sec A +sec.

A:

Q: tan e 2. Find the domain of the function f:0→. 2 sin e-3 cos e

A: Domain for any function fθ is defined as the real values for θ for which fθ exists. The given…

Q: cos A+1 cSc A %3D sin' A 3 1-cos A

A: Consider the given identity, cosA+1sin3A=cscA1-cosA Cross multiply the equation,…

Q: cos o cos(x sin 0); p} = r(p) cos po CoS O %3D = cos ¢ sin (x sin o); p} = r(p) sin po %3D

A: We have to prove the following result Me-xcosϕcos(x sin ϕ);p = Γ(p) cos pϕMe-xcosϕsin(x sin ϕ);p =…

Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: tan A - sec A = %3D sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: sin x 16. Evaluate f dx cos²x a. tan x sec x + C b. sec x c. sec?x d. tan x

A: Using substitution method Let cosx =t

Q: (a) sin(ß/2) (b) cos(ß/2) (c) tan(B/2)

A: cosβ=-13 and 180°<β<270°

Q: tan (sinh x) ) ds (b) cosh a sinh x sinh

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Q: Find each determinant.

A: a).

Q: 1+ sin r , r < 0 f(x) = COs a sin x

A: Now, check the function is continuous at x=0 or not. Thus, the function is continuous at x=0.

Q: f tan(0): and sin(0) < 0, then 3 %3D sin(e) = %3D cos(0) = %3D sec(0) = csc(0) = cot(0) =

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Q: 1+ sin 0 b) coso coso 1- sin 0

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Q: HW: (1) Prove that: cos'e (a) 1- tan'e 1-cot' @ sin'e -1, (b) tan'0.cos' 0 + cot³ 0.sin³ 0 -1

A: The detailed solution is as follows below:

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: y = (sin a)cos a + (cos )sin - 5x COs x

A:

Q: Sin B = 17 Cos N = Tan B = 15 CO

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: sin 0 35. r = cos 0 – 1

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 1. sin x dx is a. cos x + C, b. -cos x + C, c. tan x + C

A: We have tell   ∫ sin x dx

Q: 6. sin A = cos A tan A

A:

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: I sin x cos x √sin x + 1

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Q: cos e) tan (0) +3tan(0)=0

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Q: Solve r-t cos x+p tan x = 0, %3D

A: The solution is given as

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.