Question

$\orange{ \sf if \: sec \theta \: + tan \theta \: = 4 \: then \: find \: sin \theta \: and \: cos \theta}$
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Answer 1

Answer:

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Step-by-step explanation:

1+sinθ=4

∴(1+sinθ)2=(4cosθ)2

∴(1+sinθ)2=8cos2θ

∴(1+sinθ)2=8(1−sin2θ)

∴(1+sinθ)2=8(1−sinθ)(1+sinθ)

∴1+sinθ=8(1−sinθ)

∴1+sinθ=8−8sinθ

∴9sinθ=7

∴sinθ=97

ii) cosθ

secθ+tanθ=4

∴cosθ1+cosθsinθ=4

∴1+sinθ=4cosθ

∴∴1+97=4cosθ

∴9