Question

prove that:maths board question

Answer 1

i have solved this question hope you will understand

Answer 2

Solving numerator & Denominator separately & then divide


sinA- 2sin^3A = sinA(1-2sin^2A) = sinA(cos^2A+sin^2A-2sin^2A) = sinA(cos^2A-sin^2A) .....1

2cos^3A- cosA= cosA(2cos^2A- 1) = cosA( 2cos^2A-cos^2A-sin^2A) = cosA(cos^2A-sin^2A) .....2


By dividing 1 by 2

sinA/cosA= tanA = RHS