If ,then the value ofis:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
8cotθ = 7
⇒ cotθ = 7/8 = Base/Height
Hypotenuse = √(Base2 + Height2) = √(72 + 82) = √49 + 64 = √113
Now, (1 + sinθ)/cosθ = (1 + 8/√113)/(7/√113)
= [(√113 + 8)/√113]/[7 / √113]
= (8 + √113)/7
Therefore, the value of (1 + sinθ)/cosθ is (8 + √113)/7.