Answer:
The value of your equation would be 371/30
Step-by-step explanation:
Given tanθ=8/15 - -(1)
sec^2θ
= 1+tan^2θ
= 1+(8/15)^2
= 1+64/225
= 225+64/225
= 289/225
=17^2+15^2
Now, secθ = [tex]\sqrt{\frac{17^2}{15^2} }[/tex]
= 17/15
Cosθ = 15/17 - -(2)
Value of sinθ+cosθ/cosθ(1-cosθ)
Dividing numerator and denominator by cosθ, we get
= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ
= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)
= tanθ - 1/1-cosθ
= 8/15 + 1/1-15/17
= 8+15/15/17-15/17
= 23/15/2/17
= 23/15 x 17/2
= 371/30
Hope this helps!
