Question

costhita /1-sinthita + costhita/1+sinthita=4

Answer 1

Correct Question

Find value of ∅ if cos∅/(1 - sin∅) + cos∅/(1 + sin∅) = 4

Solution

→ cos∅/(1 - sin∅) + cos∅/(1 + sin∅) = 4

Take L.C.M we get,

→ [cos∅(1 + sin∅) + cos∅(1 - sin∅)]/(1 - sin²∅) = 4

→ cos∅(1 + sin∅ + 1 - sin∅)/cos²∅ = 4

→ 2/cos∅ = 4

→ cos∅ = ½

→ cos60° = ½

→ cos∅ = cos60°

→ ∅ = 60°

Hence value of theta is 60°