14. Find sin 0, given that cos0=Y,and tan 0 <0. V5 V59 a.- 8 5 C.- 8 d

Q: 9. Find the exact value of each expression. (i) 17T a. tan 6. b. cos 0- sec(0 - 2n) sin(-0) C. d.…

A: (a)

Q: sin r - cos z 2. 1+ sin(2r)

A:

Q: A. Simplify each of the following expressions. 1. sin?xcotxcscx cotx(sinx+tan.x) cscx+cotxr 3.…

A: 2. cotx sinx+tanxcscx+cotx4. 1-tan2x1+tan2x+1

Q: Evaluate 22 1 JS = sin x cos X 0 y y X dA.

A:

Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: Find the value

A:

Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

A:

Q: 16. Simplify the expression cos -1 sin' x-1 O sec? x tan2 tan? a tan? a O - sec a

A: 16. We need to simplify the following expression cos2x-1sin2x-1

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: dy b) Solve cos?x+y = tan x dx.

A: In this question we have to solve the differential equation.

Q: Xp

A:

Q: Evaluate 1 dx 3 sin x – 4 cos x -

A:

Q: Both x and y are in the domain (0, pi/2) and the value of sinx = 3/5 and cosy = 12/13. Which of the…

A: The objective of the question is to find the value of tan(x + y) given that sin(x) = 3/5 and cos(y)…

Q: 3. Simplify the following expression completely: (sin x + cos x)² – 1

A:

Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: sin x = cos x – 1

A: 1 - cos x = 2 sin2 x/2   sinx = 2 sin x/2 coxs x/2

Q: In each case find cos(2x) and cos(x/2). Do not use your calculator. 3 and 0 <x < n/2 5' 5 a. cosx =…

A: Given that cos x=3/5 and 0&lt;x&lt;π/2. We need to find cos(2x) and cos(x/2).

Q: 2. Simplify the following expressions, justify your answers. 13π (a) sin¯¹(sin ¹3″), 13п (b)…

A:

Q: )-tan (-V3) 4. Find the exact value of expression sin cos -1 /2 2

A:

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.