Math, asked by bommerakethan, 25 days ago

if 5 tan theta =12 find the values of cos theta and sin theta

Answers

Answered by happeninghomo
1

Step-by-step explanation:

5 \tan( \alpha )  = 12

 \tan( \alpha )  =  \frac{5}{12}  =  \frac{p}{b}

Now, using Pythagorus theorem,

h =  \sqrt{ {p}^{2} +    {b}^{2}   }

So, h=13

Therefore,

 \cos( \alpha )  =  \frac{b}{h }  =  \frac{5}{13}

And,

 \sin( \alpha )  =  \frac{p}{h}  =  \frac{12}{13}

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