If cos 1 x 2 + cos 1 y 3 = a, then prove that 9x 2 12xy cos a + 4y 2 = 36 sin 2 a.

Q1 of 303 Page 5

If cos^–1 x/2 + cos^–1y/3 = a, then prove that 9x²–12xy cos a + 4y² = 36 sin² a.

Given:-

Take

We know that, Formula

Thus,

⇒

Now lets take square of both side, we get

⇒

Hence Proved

Prove the following results: Solve the following:

sin^-1xsin^-12x= π/3

Prove the following results: Solve the following:

cos^-1x+sin^-1x/1-π/6=0

Solve the equation: cos^–1 a/x–cos^–1 b/x =cos^–1 1/a

Solve: cos^–1 √3x+cos^–1x= π/2