Mathematics
sec (70° - θ) = cosec (20° + θ)
Trigonometric Identities
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Answer
Given equation : sec (70° - θ) = cosec (20° + θ)
Solving L.H.S.
⇒ sec (70° - θ)
⇒ sec [90° - (20° + θ)]
By formula,
sec (90° - θ) = cosec θ
⇒ cosec (20° + θ)
Since, L.H.S. = R.H.S.
Hence, proved that sec (70° - θ) = cosec (20° + θ).
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