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The numerical value of `(9)/(co s ec^(2)theta)+4cos^(2)theta+(5)/(1+tan^(2)theta)`A. 7B. 9C. 4D. 5 |
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Answer» Correct Answer - b `(9)/(co s ec^(2)theta)+4cos^(2)theta+(5)/(1+tan^(2)theta)` `=9sin^(2)theta+4cos^(2)theta+(15)/(1+tan^(2)theta)` `because (1+tantheta=sec^(2)theta)` `=9sin^(2)theta+4cos^(2)theta+5cos^(2)theta` `=9(sin^(2)theta+cos^(2)theta)` `=9(sin^(2)theta+cos^(2)theta=1)` =9 |
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