Question

If, cos^2 theta + cos^4 theta =1 Prove that ,cot^4 theta- cot^2 theta = 1.​

Answer 1

Explanation:

Solution



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cos4θ+cos2=1

cos4θ=1−cos2θ

cos4θ=sin2θ(1)

Now,

(1)sec4θ−sec2θ

=cos4θ1−cos2θ1

=cos4θ−cos2θ

=cos4θsin2θ

=sin2θsin2θ(from(1))

=1

Answer 2

$\huge{ \boxed{ \red{ \mathfrak{ \: Question:-}}}}$

$\sf \: If, cos²θ + cos^{4} θ=1$

$\sf \: Prove \: that,$

$\sf \: cot^4 \theta- cot^2 \theta = 1.$

$\huge{ \boxed{ \red{ \mathfrak{ \: Answer:-}}}}$

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