Q2 of 303 Page 5

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

Given:-

Take

⇒

We know that, Formula

Thus,

⇒

Squaring both side or removing square root, we get

⇒

⇒ (b² – a²)a²b² = x²(b² – a²)

⇒ x² = a²b²

⇒ x = ab

Prove the following results: Solve the following:

cos^-1x+sin^-1x/1-π/6=0

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

Solve: cos^–1 √3x+cos^–1x= π/2

Prove that: cos^–1 4/5+cos^–1 12/3=cos^–1 33/65

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