1.

Complete the following activity by filling the boxes `sin^(2) theta+cos^(2) theta=square`……….(Identity) Dividing each term by `cos^(2)theta` `(sin^(2)theta)/(cos^(2)theta)+(cos^(2)theta)/(cos^(2)theta)=(square)/(cos^(2)theta)` `:.square+1=square`

Answer» Activity:
`sin^(2) theta+cos^(2) theta=1` ..........(Identity)
Dividing each term by `cos^(2) theta`
`(sin^(2) theta)/(cos^(2)theta)+(cos^(2)theta)/(cos^(2)theta)=1/(cos^(2)theta)`
`:.tan^(2)theta+1=sec^(2)theta`


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