Q3 of 303 Page 5

Solve: cos^–1 √3x+cos^–1x= π/2

Given:-

Take

We know that, Formula

Thus,

⇒

Squaring both sides, we get

⇒ 3x⁴ = 1 – x² – 3x² + 3x⁴

⇒ 1 – 4x² = 0

⇒

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

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

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

Evaluate the following:

Solve: cos–1 √3x+cos–1x= π/2