(€) + cos x tan = sin x tan 1- tan? x cot 2x = 2 tan x

Q: Complete the identity. sin x coS X :? sin x cos X O A. sin xtan x O B. 1+ cot x OC. - 2tan x O D.…

A: Given

Q: tan K his to It tan x

A:

Q: Verify the identity: (sin x - sin y)/(sin x + sin y) = tan (x - y/2 cot (x + y)/2

A: We will use the formulas

Q: cos? 0 – sin? 0 =1 cotx sec x = csc x

A: we have to prove that the given statements are true or false: (i)cos2θ-sin2θ=1 (ii)cotx secx=cscx

Q: 1+ sin x dx = 2 cos? x Hide answer choices - A tan x + sec² x + C tan x + seс х + С C In(1+cos?x) +…

A: Given, ∫1+sinxcos2xdx We need to calculate the value of the integral. We know that…

Q: 5) find the awnsers Sinh x = 39/80 Cos h x = ? Tan h x = ? Cot h x=? Sech x=? Csch x=?

A:

Q: 4. 2 sin e cos e - cos e 1- sin_e + sin?e- cos? e

A: (2sinΘcosΘ -cosΘ)/(1 - sinΘ +sin2Θ -cos2Θ ) (cosΘ)(2sinΘ -1)/(2sin2Θ  - sinΘ ) cosΘ(2sinΘ -1)/(sinΘ…

Q: sin? x cos x dx 3 x COS

A:

Q: 1. sinh^2x + tanh^2x=? 2. What is the value of tan A if cot 2A cot 68= 1? 3. Let h(x) = 3x + 12…

A:

Q: a. Y = cot(Ve“ ) tanh(e") -1 (sin(x²)) tan(2²) tan(ray) = x + y? b. y = C.

A:

Q: TC + (c) Given that In = tan" x dx , show that %3D In + In-2 = (n 2 2) %3D Hence, find 8. tan (2x)…

A: Given an integral : In=∫0π/4tannx dx We need to show : In+In-2=1n-1 , n≥2 Also we need to find…

Q: 20. sin? x cos? x dx

A:

Q: (-) Suppose v is in the interval with tan v = -3. Find the exact expression for the indicated…

A:

Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: Arrange the given steps to correctly verify the equation. sin x cotx cos x CScr 1 sin r (sin r sin r…

A:

Q: sec" (*) 1 - tan?(x) cos? (x) %3D sin(x) + sin(x) sin“ (æ) – cos“ (x) = -

A:

Q: If you do, you are on the right track. Enjoy! Prove the following identities 1. sec? x + csc2 x =…

A:

Q: tan? x sin? x 2. t 1+tan x а. (1 -sin' x)1 b. +cot? x)= cot'x

A: Trigonometric identity

Q: 4 sin(A) – cos(A) | If tan(A) = , then %3D %3D 4 sin(A) + cos(A)

A:

Q: I = cos? x sin x In(cos x)

A:

Q: 2 sin(x) Given f(x) = x + cos(x) X a) Find the value of f'(x). b) Hence, find f'(0).

A: Given:

Q: f(x) = cot? 1 %3D tan-1

A:

Q: Match the ratios for sin X, cos X and tan X. X Y sin X DRAG & DROP THE ANSWER cos X 7 tan X 4/2 4/2…

A: Use the defination of  trigonometric ratios and find value of each trigonometric ratios.

Q: + sin x dx = cos? x A tan x - sec x tan x + C B tan x + sec? x + C In(1+cos?x) + C

A:

Q: sin? x – 16 dx - te : Csc x sin x + 16 cot x + C, Where C is an arbitr onstant + 16 tan x + C, Where…

A: cosec x= 1sin x given that:                     ∫csc xsin2x-16sinx=∫1sin2xsin2x-16 dx…

Q: 2 sin (x) dz 4 cos? (x) + 2 cos (x)

A: The given integral is ∫-2sinx4cos2x+2cosxdx. Determine the value of integral by using partial…

Q: (1+ cot A – csc A) (1 + tan A + sec A) = 2 -

A:

Q: NIX 2. sin? x+(1-cosx) 2 tan %3D (sin x)(1+cos x)

A: We can verify the statement as below

Q: 4. f(x) if f(x) - In(sin?x cos?x) a. 4 tan 2x b. 2 tan 2x c. 4 cot 2x d. -4 cot 2x

A:

Q: Using the identity, sinh y cosh y + i cos? x + sinh? y sin x cos x tan(x + iy) : cos² x + sinh² Y…

A: Given that, tanx+iy=sinxcoscos2x+sinh2y+isinhycoshycos2x+sinh2y Now,…

Q: sin“ x + cost a =1– 2 cos? x + 2 cos e

A: We can find the answer as given below

Q: 2 sin? x 7. lim x→0 5x(1+cos x)

A:

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: Complete the identity. sin x COS X =? sin x COS X O A. sec XCSC X O B. sin xtan x O C. - 2tan x 2.…

A:

Q: Using the trigonometric substitution x = 8 sec 0, x = 8 and 0 < 0 s5. express tan 0 in terms of x.

A: Given: x=8secθ, x≥8, 0&lt;θ≤π2 we know that tanθ=sec2θ-1…

Q: sin ф dp cos? ф 4x 3x + cos (2x² + 1)| dx tan? x (1+ sin“ x) dr cos².

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: cos? x sin x | cos“ x dr 3 + 4 COs x sin x 1 COS4 + 4 + c 2

A:

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: Approximate to three decimal places.

A: Given: Approximate to three decimal places(a) tan 21°10'=0.3838646=0.064

Q: | sin? x cos x dx The set-up would include . u = sin x and -du = cos xdx cos x and du sin xdx Ou =…

A: We have to find

Q: p(x) = sin cos x Select the correct response: tan x O 1 O sin? x – cos² x 2 COS“ x -

A: Given that

Q: 6. sin A = cos A tan A

A:

Q: 5(cos? x – 1) sin x cos x – sin x O 5 tan z + 5 sec x O 5 sin x + 5 cos x O 5 cot x + 5 sec ¤ O 5…

A:

Q: Verify the identity.

A: Given,           The identity is cosθ+sinθtanθ=secθ .

Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx

Q: Prove: sin?(x) tan(x) + cos?(x)cot(x) + 2sin(x)cos(x) = tan(x)cot(x)

A:

Q: 32. tan?x sec x dx 7/2 35. cot'x dx

A: Topic :- Integration

Q: tanº(x) cos“(x) O sin'(x)sec°(x)[7sin?(x) + 9cos²(x)] + C 63 tanʼ(x) [7tan²(x) + 9]+c 36

A: The properties to be used for solving the integral are: a) 1/cos4(x)=sec4(x) b) d(tanx)dx=sec2x c)…

Q: f (x) = cos² (cos x) + sin? (cos x)

A: The given function is fx=cos2cosx+sin2cosx.