Math, asked by rrakeshwarooo, 1 year ago

If secѲ-tanѲ=4 ,then prove that cosѲ=8/17.​

Answers

Answered by ShuravKDas
1

I believe everything is explained in the attached photo!

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Answered by ArtShambhu
1

Hii dear mate,your answer is here below

We know,

Sec sq.θ- tan sq. θ=1

=>(sec θ-tan θ)(sec θ+tan θ)=1

=>sec θ+tan θ=1/4-----(ii)

sec θ-tan θ=4-----(i)

On solving eqs.i & ii we get,

2sec θ=4+1/4

=>sec θ=17/8

So, cos θ=8/17. [We know,cosx=1/secx]

LHS=RHS (Proved)

If it help you then plz mark me as brainliest

Thanks

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