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Using the trigonometric table and evalute (a) `sin^(2)45^(@)+cos^(2)45^(@)` (b) `sec^(2)30^(@)-tan^(2)30^(@)` |
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Answer» (a) `sin^(2) 45^(@)+cos^(2)45^(@)` `=((1)/(sqrt(2)))^(2)+((1)/(sqrt(2)))^(2)` `=(1)/(2)+(1)/(2)=1` Hence, `sin^(2)45^(@)+cos^(2)45^(@)=1` (b) `sec^(2)30^(@)- tan^(2)30^(@)` `=((2)/(sqrt(3)))^(2)-((1)/(sqrt(3)))^(2)` `=(4)/(3)-(1)/(3)=(3)/(3)=1` Hence , `sec^(2)30^(@)-tan^(2)30^(@)=1` |
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