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Question

If secβsecγ+tanβtanγ=sec α. Find secβ

A
secαcosγ1+sinβsinγ
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B
secαcosγ2+sinβsinα
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C
cosαcosγ1+sinβsinγ
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D
cosβ.cosγcosα.sinβ.sinγcosα.cosβ
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Solution

The correct option is C cosβ.cosγcosα.sinβ.sinγcosα.cosβ
secβsecγ+tanβtanγ=secα
secβ=secαtanβtanγsecγ
secβ=1cosαsinβcosβ×sinγcosγ1cosγ
secβ=cosβcosγcosαsinβsinγcosαcosβ

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