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

Assessment: JAMB UTME - Mathematics - 2024 Subject: General Mathematics

Question 1 Report

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

Given tanθ=815 tan ⁡ θ = 8 15

sinθ=817,cosθ=1517
from pythagora's theorem.

To find 

sinθ−cosθsin2θ−sinθ

Numerator  →

sinθ−cosθ=817−1517=−717

 

Denominator →

sin2θ=(817)2=64289,sin2θ−sinθ=64289−136289=−72289
 

−717−72289=7×28917×72=11972

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