1.

Proove: `(sin^(2)theta)/(cos theta)+cos theta=sec theta`

Answer» Proof:
LHS`=(sin^(2)theta)/(cos theta)+cos theta`
`=(sin^(2) theta+cos^(2)theta)/(cos theta)`
`=1/(cos theta)` ………. `(sin^(2) theta+cos^(2) theta=1)`
`=sec theta` ……….`[1/(cos theta)=sec theta]`
`=` RHS `:.` LHS `=` RHS
`:.(sin^(2)theta)/(cos theta)+cos theta=sec theta`.


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