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Question
Choose the correct alternative:
1 + tan2 θ = ?
Options
Sin2 θ
Sec2 θ
Cosec2 θ
Cot2 θ
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Solution
sec2θ
Explanation:
1 + tan2θ = sec2θ
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Activity: L.H.S. = cotθ + tanθ
= `cosθ/sinθ + square/cosθ`
= `(square + sin^2theta)/(sinθ xx cosθ)`
= `1/(sinθ xx cosθ)` ....... ∵ `square`
= `1/sinθ xx 1/cosθ`
= `square xx secθ`
∴ L.H.S. = R.H.S.
