What is $7sectheta-4cos^2theta -costheta$ in terms of $sintheta$ ?

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Answer 1 · 2016-10-17T15:44:01

$7sectheta-4cos^2theta-costheta$

$=>7/costheta-4cos^2theta-costheta$

$=>7/costheta-costheta-4cos^2theta$

$=>(7-cos^2theta)/costheta-4+4sin^2theta$

$=>(7-1+sin^2theta)/costheta+4sin^2theta-4$

$=>(6+sin^2theta)/sqrt(1-sin^2theta)+4sin^2theta-4$

What is 7sectheta-4cos^2theta -costheta7sectheta-4cos^2theta -costheta in terms of sinthetasintheta?