# Number of solutions of sinx.tan4x=cosx in (0,π) ?

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#### Explanation

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Number of solutions: 5 for

#### Explanation:

sin x.tan 4x = cos x

Unit circle and property of tan give -->

k = 0 -->

k = 1 -->

k = 2 -->

k = 3 -->

k = 4 -->

In the interval

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Describe your changes (optional) 200

#### Answer:

#### Explanation:

Note that, in the given eqn., **otherwise**

Hence, we can **divide** the eqn. by

But,

Describe your changes (optional) 200