Question

sec 15θ = cosec 15θ (0° < θ < 10°) then the value of θ

Answer 1

We know that sec x=cosec(90-x)
So,
15x = 90-15x
=>30x=90.
=>x=3
So, theta is equal to 3 degrees.

Answer 2

sec15θ = cosec15θ

we know,
secx = cosec(90° - x ) use this here,

sec15θ = cosec(90° - 15θ)
then,
cosec(90° - 15θ) = cosec15θ
90 - 15θ = 15θ
90° = 30θ
θ = 3°
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