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Find the value of sin^(2)135^(@)+sec^(2)...

Find the value of `sin^(2)135^(@)+sec^(2)135^(@)`.

Text Solution

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`sin135^(@)=sin(180^(@)-45^(@))=sin 45^(@)=(1)/(sqrt2)`.
`sec135^(@)=sec(180^(@)-45^(@))=-sec 45^(@)=-sqrt2`.
`therefore sin^(2)135^(@)+sec^(2)135^(@)=((1)/(sqrt2))+(-sqrt2)^(2)=(1)/(2)+2=(5)/(2)`.
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