Is sin^2(x)-2cos^2(x)=3sin^2(x)-2 ?

The answer to whether sin^2(x)-2cos^2(x)=3sin^2(x)-2 is True

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prove sin^2(x)-2cos^2(x)=3sin^2(x)-2

prove

sin^{2} (x) - 2 cos^{2} (x) = 3 sin^{2} (x) - 2

True

Solution steps

sin^{2} (x) - 2 cos^{2} (x) = 3 sin^{2} (x) - 2

Manipulating left side

sin^{2} (x) - 2 cos^{2} (x)

Rewrite using trig identities

= 3 sin^{2} (x) - 2

We showed that the two sides could take the same form

\Rightarrow True

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

tan (a) = tan (a) csc^{2} (a) + cot (- a)

7 csc^{2} (x) - 5 cot^{2} (x) = 2 csc^{2} (x) + 5

cos^{2} (x) (1 + cot^{2} (x)) = cot^{2} (x)

\frac{1}{csc ( x ) + cot ( x )} = csc (x) - cot (x)

Is sin^2(x)-2cos^2(x)=3sin^2(x)-2 ?
The answer to whether sin^2(x)-2cos^2(x)=3sin^2(x)-2 is True