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If `tan theta - cot theta =7`, then the value of `tan^(3)theta-cot^(3)theta` isA. 250B. 354C. 343D. 364 |
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Answer» Correct Answer - D Given, ` tan theta- cot theta=7`. We know that , `a^(3)-b^(3)=(a-b)^(3)+3ab(a-b)` `tan^(3) theta-cot^(3) theta=(tan theta- cot theta)^(3)+3 tan theta cot theta (tan theta - cot theta )` `=7^(3)+3(7)=343+21=364`. |
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