25л then 6. If 0 sin(0) - cos(0) =

Q: If 0 then 4 sin(8) = cos(0) =

A:

Q: 2. -1z"cosdz zl=1

A:

Q: If y = cos 4x then y'(0) О а.1 O b. 0 O C. 4 O d. -4

A: We have to find out y'(0).

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: 16. Calculate (sin 0 , 0 , cos 20) d0.

A: ∫0π< sinθ,θ,cos 2θ>dθ

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

Q: sin x-2 cos 2 ド|N

A: Given inverse trigonometric equation sin-1x - 2cos-122 = -π2                               ⇒sin-1x -…

Q: If cos(t) = 1. cos(2t) 4 = 2. sin(4t) = || || = where t = [0, 90], determine

A:

Q: If A = A-1 = 2e2t sin(5t) 2e²t cos(5t) 2e5t cos(5t) -2est sin(5t) , then 4

A:

Q: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

A:

Q: If 0 = then 3 %3D sin(8) = %3D cos(e) = %3D

A: We have  this can be also written as

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 2. Simplify: cos(+ x) cos(-x) = sin(n + x) sin(x + 37)

A:

Q: 4. cos50 = sin

A: find  cos50=sin ....... i.e. cos 50=sinx find out x value

Q: 6. (a) 2 cos?t (b) 3 sin 2x

A:

Q: 3Tt TC X+ If cos x = and <x< 2n , find the value of cos 317

A:

Q: sin x 6. Evaluate dx. 3 cos x

A:

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: If Sin(3x+5) = Cos(2x – 10) what is the value of x?

A: This question is related to comparison of trigonometry function.

Q: a. y= 3(x³+4) b. y= cos-1(-3x)

A: we have to find dy/dx for given y

Q: 4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

A: