If tanθ θ = 815 8 15 , simplify Sinθ−CosθSi..

Question 1 Report

If tan $θ$ = $\frac{8}{15}$ , simplify $\frac{S i n θ - C o s θ}{S i n^{2} θ - S i n θ}$

\frac{- 119}{72}

\frac{119}{72}

\frac{- 7}{17}

\frac{8}{17}

Answer Details

Given $\tan θ = \frac{8}{15}$

from pythagora's theorem.

To find

sin θ - cos θ sin 2 θ - sin θ

Numerator →

Denominator →

- 7 17 - 72 289 = 7 \times 289 17 \times 72 = 119 72

If tanθ θ = 815 8 15 , simplify Sinθ−CosθSin2θ−Sinθ