9sec^2x-5tan^2x=5+4sec^2x

Question

How do i change from one side to another?

Answer 1

This equation appears to be an identity. Let’s check it out.

9sec²(x)-5tan²(x)=5+4sec²(x),

(9-4)sec²(x)=5+5tan²(x),

5sec²(x)=5+5tan²(x),

sec²(x)=1+tan²(x), by dividing through by 5,

1=cos²(x)+sin²(x), by multiplying through by cos²(x).

This is an identity (true for all x), so the original equation was an identity.

Answer 2

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