InterviewSolution
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InterviewSolution
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Prove the following results:`tan(cos^(-1)4/5+tan^(-1)2/3)=(17)/6`A. `13/6`B. `17/6`C. `19/6`D. `23/6` |
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Answer» Correct Answer - B `cos^(-1)x=tan^(-1)sqrt(1-16/25)/(4/5)=tan^(-1)3/4`. `therefore cos^(-1)4/5+tan^(-1)2/3=tan^(-1)3/4+tan^(-1)2/3=tan^(-1)(3/4+2/3)/(1-3/4 xx 2/3)=tan^(-1)(3/4+2/3)/(1-3/4 xx 2/3) = tan^(-1)17/6` `therefore` given exp. `=tan{tan^(-1)17/6}=17/6` `therefore` given exp. `=tan{tan^(-1)17/6}=17/6`. |
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