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Question
sec2θ – tan2θ = ?
Options
0
1
2
`sqrt(2)`
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Solution
1
Explanation:
1 + tan2θ = sec2θ
∵ sec2θ – tan2θ = 1
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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`
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= `square xx secθ`
∴ L.H.S. = R.H.S.
