Question

if 2 sin theta = 5 cos theta ,then find the value of tan theta​

Answer 1

SOLUTION

GIVEN

$\displaystyle \sf{2 \sin \theta = 5 \cos \theta}$

TO DETERMINE

The value of

$\displaystyle \sf{ \tan \theta }$

EVALUATION

Here it is given that

$\displaystyle \sf{2 \sin \theta = 5 \cos \theta}$

Dividing both sides by cos θ we get

$\displaystyle \sf{2 \: \frac{ \sin \theta}{\cos \theta} = 5 }$

$\displaystyle \sf{ \implies \: \tan \theta = \frac{5}{2} }$

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Answer 2

Step-by-step explanation:

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