Question 8
SSC-CGL 2020 Mar 3 Shift 2
If 2 sinθ + 15 cos²θ = 7, and θ is an acute angle, then the value of (tanθ + cosecθ + secθ) is?
Solution in Brief
Write the given equation as 2 sinθ + 15 (1 - sin²θ) = 7, solve the quadratic equation to obtain sinθ = 4/5, and by pythagoras tanθ = 4/3, cosecθ = 5/4, secθ = 5/3, giving 17/4 ans!
Solution in Detail
Given
Put
Solving the quadratic
By Pyth,
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