Question

Find value of theta cos theta/ 1-sin theta + cos theta / 1 + sin theta = 4

Answer 1

Solution

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

Taking L.C.M we get,

→ [cos∅(1 + sin∅) + cos∅(1 - sin∅)]/(1 - sin²A) = 4

Taking cos∅ common we get,

→ cos(1 + sin∅ + 1 - sin∅)/cos²A = 4

→ 2/cos∅ = 4

→ 2/4 = cos∅

→ 1/2 = cos 60° = cos∅

Hence value of ∅ is 60°.

Answer 2

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