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Question
`1/(secθ - tanθ)` = secθ + tanθ
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Solution
डावी बाजू = `1/(secθ - tanθ)`
= `1/(secθ - tanθ) xx (secθ + tanθ)/(secθ + tanθ)` ......[छेदाचे परिमेयकरण करून]
= `(secθ + tanθ)/(sec^2θ - tan^2θ)`
= `(secθ + tanθ)/1` ....`[(∵ 1 + tan^2θ = sec^2θ),(∴ sec^2θ - tan^2θ = 1)]`
= secθ + tanθ
= उजवी बाजू
∴ `1/(secθ - tanθ)` = secθ + tanθ
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`(sin θ - cos θ + 1)/(sin θ + cos θ - 1) = 1/(sec θ - tan θ)`
cosec θ.`sqrt(1 - cos^2theta) = 1` हे सिद्ध करा.
जर tan θ + cot θ = 2, तर tan2θ + cot2θ = ?
sec2θ − cos2θ = tan2θ + sin2θ हे सिद्ध करा.
जर `1/sin^2θ - 1/cos^2θ-1/tan^2θ-1/cot^2θ-1/sec^2θ-1/("cosec"^2θ) = -3`, तर θ ची किमत काढा.
