Calculate \frac{3 \sin \alpha+2 \tan \alpha}{\cot \alpha} if \cos \alpha=\frac{1}{3}

Ikunupe6v

Ikunupe6v

Answered question

2022-01-15

Calculate 3sinα+2tanαcotα if cosα=13

Answer & Explanation

RizerMix

RizerMix

Expert2022-01-20Added 656 answers

3sinα+2tanαcotα=3sin2αcosα+2sin2αcos2α=3(1cos2α)cosα+2(1cos2α)cos2α You should be able to conclude.
Vasquez

Vasquez

Expert2022-01-20Added 669 answers

3sinx+2tanxcotx=(3sinx+2sinxcosx)sinxcosx=3sin2xcosx+2sin2xcos2x= =sin2xcos2x(3cosx+2)=1cos2xcos2x(3cosx+2)=11919(313+2)=24
user_27qwe

user_27qwe

Skilled2022-01-23Added 375 answers

Hint : 3sinα+2tanαcotα=3sinαcotα+2tanαcotα But sinαcotα=1cos(α)2cosα and tanαcotα=1cos(α)2cos(α)2

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