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Using the trignomertric table, evaluate ...

Using the trignomertric table, evaluate
(a) `sin^(2)30^(@)+cos^(2)30^(@)`
(b) `sec^(2)60^(@)-tan^(2)60^(@)`.

Text Solution

Verified by Experts

(a) `sin^(2)30^(@)+cos^(2)30^(@)=((1)/(2))^(2)+((sqrt3)/(2))^(2)=(1)/(4)+(3)/(4)=(4)/(4)=1`
Hence, `sin^(2)30^(@)+cos^(2)30^(@)= 1`.
(b) `sec^(2)60^(@)-tan^(2)60^(@)=(2)^(2)-(sqrt3)^(2)=4-3 =1`
Hence, `sec^(2)60^(@)-tan^(2)60^(@)=1`.
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