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प्रश्न
Choose the correct alternative:
cos θ. sec θ = ?
विकल्प
1
0
`1/2`
`sqrt(2)`
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उत्तर
1
cos θ. sec θ = cos θ. `1/"cos θ"` = 1.
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Solution :
L.H.S. = cotθ + tanθ
= `cosθ/sinθ + sinθ/cosθ`
= `(square + square)/(sinθ xx cosθ)`
= `1/(sinθ xx cosθ)` ............... `square`
= `1/sinθ xx 1/square`
= cosecθ × secθ
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