Question

If tan θ = 1, find the value of 5cot^2 + sin^2 − 1

Answer 1

Answer:

If 5cotθ=4 then the value of (

sinθ+2cosθ

5sinθ−3cosθ

) is :

Answer

(

sinθ+2cosθ

5sinθ−3cosθ

)

Dividing numerator and denominator by sinθ we get:

=

1+2cotθ

5−3cotθ

=

1+2×

5

4

5−3×

5

4

=1