Question

If 2 sin theta equal to 5 cos theta , then find the value of tan theta
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Answer 1

Given:

2 sin θ = 5 cos θ

To find:

The value of tan θ.

Solution:

The value of tan θ is 5/2.

To answer this question, we will follow the following steps:

First of all, we should know that tan θ is equal to sin θ divided by cos θ.

This means,

$tan \: θ = \frac{sin \: θ}{cos \:θ }$

Now,

As given in the question, we have

$2 \: sin θ = 5 \: cos θ$

This can be written as

$\frac{sin \: θ}{cos \:θ } = \frac{5}{2}$

$tan \: θ = \frac{5}{2}$

Hence, the value of tan θ is 5/2.

Answer 2

Answer:

2 sin theta = 5 cos theta _ _ _{ Given }

Find :- the value of tan theta

therefore, sin theta / cos theta = 2 / 5

therefore, tan theta is = 2 / 5 .