Answered

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verify the identity tan^2 (x) * csc^2( x)= 1/cos^2(x)

Sagot :

We have

[tex]\tan ^2(x)csc^2(x)=\frac{1}{\cos ^2(x)}[/tex][tex]\tan (x)=\frac{\sin(x)}{\cos(x)}[/tex][tex]\csc (x)=\frac{1}{\sin (x)}[/tex]

we substitute the equalities given above

[tex]\frac{\sin^2(x)}{\cos^2(x)}\cdot\frac{1^2}{\sin^2(x)}=\frac{\sin^2(x)}{\sin^2(x)\cos^2(x)}=\frac{1}{\cos ^2(x)}[/tex]

as we can see we verify the identity because we obtain the same result

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