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Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

A:

Q: If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=   i. 2 - i8√3 ii. -4 + i4√3 iii.-8-i√2 iv. -8 - i4

A: Using de-moivre's formula :

Q: 2-sec2x: COS2X = COS X

A: Given query is to verify the identity

Q: Find the exact value of the expression in the terms of x cos(sin- ()) '25-(ӕ—2)2 V8+(z-30)2 125…

A: Inverse Trigonometry

Q: sin?() + cos? () + tan? (4) 2 1/2 2 1 1/2

A:

Q: sin( 2 tan-1 (x/ 12)) = Select one:

A: Can solve the given function by using double angle formula

Q: 3 1 + cos² x –sin² x ) dx \csc³ x

A:

Q: TT -1 Cos 2 sin 2

A:

Q: (co0s(-)) +- (cos(- 1. COS because 6. COS 6.

A:

Q: (8/cos(x)+1)+(8/cos(x)-1)=−16 csc(x) cot(x) Steps that is takes to get from…

A: Given that LHS is 8cosx+1+8cosx-1.

Q: 11) Prove cos+x -sinfx = cos 2x

A:

Q: ·/₁ Evaluate cos x sin³ x dx. 2 cos(x) + cos¹ (x) ²/ X syntax error. + C

A: Given query is to find the integral.

Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: d 5s- Cos-3 s(s*- 1st1)

A: We use partial fraction method to decompose given function of s and then use inverse Laplace…

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: 4(cos135 Cos 1 5)

A:

Q: Part D

A:

Q: If x + = 2 cose X then show that 1 = 2 cos 20 X* + X

A: