2sina - cosa + sina If 1 + cosa + sina = x, then 1 + sina (A) - (B) x (C)1 – x (C) 1 – x (D) 1 + x

Q: cos(x+y)-cot y-tanx 13. Cosx- sin y

A:

Q: Find the limit

A: Consider the limit, First of all, apply the fraction rule, Then,

Q: Verify the identity:

A: The given identity is sin3x+cos3x=sinx+cosx1-sin2x2

Q: Evaluate the limit.

A: Given limit: limh→0 sin2h sin3hh2

Q: sin x+cosX Differentiate y = %3D sin x-cos x 2 А. 1-sin 2x -2 В. 1+sin 2x -2 С. 1-sin 2x 2 D. 1+sin…

A: Given,  y=(sinx+cosx)/(sinx-cosx)

Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

A:

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does…

A:

Q: sinh (x) esin h-' (x) sin h- (x) Vx²+1 -esin h¯' (x) sin h Vx²–1

A:

Q: y- y' cos x = y² cos x (1 - sin x)

A:

Q: cos.2x 25. cos.x - sinx A sinx 3-.cos x + sinx C 2:cosx + sinx A - cos.x :D D cosx -2-sinx

A:

Q: Solve the equation for x, if possible.

A: Expanding along second column, we get

Q: sin(x-3) 1. lim x→3 x²-4x+3 sin2x 2. lim x→n sin3x cos4x-cos2x 3. lim x→0_arcsin²3x

A:

Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

A:

Q: sin(x) 4. lim x→0 1 – cos(2x)

A: The solution of the problem is given in the next step.

Q: (り 12 sin n

A: We need to find first derivative.

Q: Verify the identity:

A:

Q: Sin 2x- Cos 2.x Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: See the attachment

Q: sin x- cos x sin xcosx- cos x .2 CoS

A: To simplify

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

A:

Q: sin 2x 29. sin x cos 2r = sec x cos X

A: As you mentioned solve question no.29

Q: (sin x + cos x) sin'x- cosx sin'x- cos'x cos-r COS X (sin x – cos x)2

A:

Q: Sin² x-sin x-2=0

A:

Q: cosh“ x – sinh“ x = (cosh? x – sinh? x) (cosh² x + sinh² x)

A:

Q: (cos x-1)(1+cos(-x))=-sin' x

A: cosx-11+cos-x=-sin2x

Q: sin x cos x – tan x cos² x dx cos x cos? x sin x dx cos3 x 16. = sec x dx + cos x Let u = cos x ; du…

A: It is given that    ∫cosx-tanxcos2x dx We have to evaluate it.

Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

A:

Q: Prove that

A: Given:d2ndx2nsinx=-1n sinxd2ndx2ncosx=-1n cosx

Q: 5. (Double-angle formulas) Prove that a) sinh(2x) = 2 sinh(x) cosh(x) b) cosh(2x) = cosh? (x) +…

A:

Q: (cos(3x) sin(x) – sin(3æ) cos(x)) da

A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

Q: Trigonometric Groups 3. S sin³x cos5xdx 4. S Vtan x sec*x dx

A:

Q: sin 5z-sin 3z 14. lim,» +0 sin z

A:

Q: sin- x - y· dx + (tan-(yx-1))xdy = 0 cos-12

A: The given differential equation is x-ysin-1yxcos -1yxdx+(tan-1(yx-1))xdy=0. Simplify to obtain the…

Q: Find the limit

A:

Q: fy=sin-¹ find Zy

A:

Q: cos(x (*). cos(x + h) – cos x cos h – 1 sin h - - sin x · h COS x h h

A: Require to verify the identity cosx+h-cosxh=cosxcosh-1h-sinxsinhh

Q: sin - + cos x – 1 = 0

A: The equation is sin(x2)+cosx-1=0sin(x2)=1-cosx we know that cosx=1-2sin2 (x/2) so 1-cosx=2sin2(x/2)…

Q: Find the limit

A:

Q: sin'x cos'xdk 3. X COS

A: It is given that, ∫sin2xcos3x dx We have to solve it.

Q: ∫ sin3 (x / 2) cos (x / 4) dx

A:

Q: Confused on this.

A: topic - trigonometric identities

Q: sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

A: We have to find the limit.

Q: sin x 15. у 3D cot x 17. у 3 16. у 3D' secx -4cse x cot x

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the limits in Exercises 25–30.

A:

Q: (sin x +cos x)^2 =1+sin x cos x

A:

Q: sin x cos x 1 1. - sin – sin x 2 sinx cosx 3 cosx -1

A: The solution is given as

Q: sin 0 lim 0 →n/2 In sin 0

A: It is given to Answer only the third Question :

Q: Sin (3 x) Sin (3 x) dx

A:

Q: cos (x+ y) cos (x-y) cos2 x- sin2 y

A:

Q: sin x b. 1+cos x 1-cos x sin x

A: