Question

if tan theta = a/b find the value of bsintheta - acostheta /bsintheta +acostheta ​

Answer 1

We have value of tan∅ = a/b. If we bring 'b' at another side then,

→ b tan∅ = a

To Find: (b sin∅ - a cos∅)/(b sin∅ + a cos∅)

In order to solve this equation, divide the numerator and denominator by cos∅.

→ [(bsin∅ - acos∅)/cos∅]/[(bsin∅ + acos∅)/cos∅]

→ [bsin∅/cos∅ - acos∅/cos∅]/[bsin∅/cos∅ + acos∅/cos∅]

→ (b tan∅ - a)/(b tan∅ + a)

→ (a - a)/(a + a)

→ 0/2a

→ 0

Hence final answer is zero (0).

Answer 2

Nice.......................