Rewrite cos (-) in terms of sin(x) and cos(x).

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: tan(t) Simplify sec(t) – cos(t) to a single trig function.

A:

Q: Write sin(3x) cos(7x) as a sum of trigonometric functions.

A: Given trigonometric function is  sin3x cos7x. Write the sin3x cos7x as a sum of trigonometric…

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: Verify the identity: sin x/(1 + cos x) = (1 - cos x)/sin x.

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

Q: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

A: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

Q: Write the exact form of sin(3x) in terms of sin(x)

A: Given,          sin3x

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: Verify identity cos2 x - sin2 x = 2 cos2 x - 1.

A: cos2x -sin2x=2cos2x-1

Q: simplify: csc(x)-cos(x)cot(x)

A: simplify: cscx-cosxcotx

Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

A: