Show that the following general equation x = c1 cos(/t) + c2 sin(\/t) k m can be transformed into: C cos(/ t + ¢) x = m Write down constant C and O in terms of c, and c,! Hint: use a trigonometric identity!

Q: 7. Prove the following trigonometric identity: secx-2sin x = (sin x − cosx)2 cosx

A:

Q: Use an identity to find the exact value of cos(theta/2) given that cos(theta)=3/7 with 270 degrees

A:

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)…

A:

Q: Give the exact value of sin (cos ()). 3

A: The objective is to find the exact value of the trigonometric function.

Q: The trigonometric expression sin3(t)-cos3(t)sin(t)-cos(t) is equal to which of the followings?

A:

Q: Cos Gx dx

A: Given

Q: csc? a + sec? æ 1 cos x sin z

A:

Q: csc (tan 2y-1)cy 5. cos* 2y

A: Given ∫csc2(tan2y-1) dycos22y To evaluate the integral using Trigonometric formula:

Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu…

Q: Find the values in

A: Given:

Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

A:

Q: from Evaluate cos r sin x dr.

A:

Q: What is the exact value of cos- (sin a) where a = 13T radians? 4

A:

Q: Use a counter-example to show that the following equation is NOT an identity. sin(x + y) = sin x +…

A: Trigonometry function 3π/2=270° π=180° π/2=90°