Question

if 3 tan theta= sec theta, then find the value of cot theta​

Answer 1

Answer:

hey mate kindly refer the attachment

Step-by-step explanation:

Answer 2

Answer:

The value of cot theta is 2$\sqrt{2}$ .

Step-by-step explanation:

As per the data given in the question

we have to calculate value of cot theta

As per the question

it is given that

3 tan theta= sec theta

we know that tan theta = $\frac{sin theta}{cos theta}$ and sec theta =$\frac{1}{cos theta}$

canceled cos theta on both side

we get $\frac{3 sin theta}{cos theta}=\frac{1}{cos theta}$

= sin theta = 1/3

we know cos theta = $\sqrt{1-sin^2 theta}$=$\sqrt{\frac{8}{9} }$=$\frac{2\sqrt{2} }{3}$

so cot theta = $\frac{cos theta}{sin theta}$

= $\frac{2\sqrt{2} }{3}*3$

= $2\sqrt{2}$

Hence, the value of cot theta is 2$\sqrt{2}$ .

For such type of question:

https://brainly.in/question/2712165

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