1.

If sec 5θ = cosec (θ - 36°), where 5θ is an acute angle, find the value of θ.

Answer»

sec 5θ = cosec (θ-36°) …(i)

We know that

sec θ = cosec (90° - θ)

So, Eq. (i) become

Cosec (90° - 5θ) = cosec (θ -36°)

On Equating both the sides, we get

90° - 5θ = θ -36°

⇒ -5θ - θ = -36° -90°

⇒ -6θ = -126°

⇒ θ = 21°



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