Q6 of 104 Page 196

If 3 θ is the measure of an acute angle and sin30 = cos(θ — 26), then find the value of θ.

cos(90–θ ) = sinθ

tan(90–θ ) = cotθ


sin(90–θ ) = cosθ


cot(90–θ ) = tanθ


cosec(90–θ ) = secθ


sec(90–θ) = cosecθ


sin30 = cos(90–30)


⇒ cos(90–30) = cos(θ –26)


⇒ 90–30 = θ–26


⇒ θ = 86


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