Is 9sec^2(x)-5tan^2(x)=5+4sec^2(x) ?

The answer to whether 9sec^2(x)-5tan^2(x)=5+4sec^2(x) is True

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prove 9sec^2(x)-5tan^2(x)=5+4sec^2(x)

prove

9 sec^{2} (x) - 5 tan^{2} (x) = 5 + 4 sec^{2} (x)

True

Solution steps

9 sec^{2} (x) - 5 tan^{2} (x) = 5 + 4 sec^{2} (x)

Manipulating left side

9 sec^{2} (x) - 5 tan^{2} (x)

Rewrite using trig identities

= 4 sec^{2} (x) + 5

= 5 + 4 sec^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

(1 - cos^{2} (x)) cot (x) = sin^{2} (x) cot (x)

sin (3 A) = 3 sin (A) - 4 sin^{3} (A)

cot^{4} (x) + cot^{2} (x) = cot^{2} (x) csc^{2} (x)

cot^{3} (x) = cot (x) (csc^{2} (x) - 1)

sin (2 a) = \frac{2 tan ( a )}{1 + tan ^{2} ( a )}

Is 9sec^2(x)-5tan^2(x)=5+4sec^2(x) ?
The answer to whether 9sec^2(x)-5tan^2(x)=5+4sec^2(x) is True