Question

What are some ways tanθ=sinθ/cos θ can be expressed?

Answer 1

Answer:

See explanation

Step-by-step explanation:

We can express

$\tan( \theta) = \frac{ \sin \theta}{ \cos \theta }$

in so many ways using trigonometric identities.

Let us rewrite to obtain:

$\tan( \theta) = \frac{1}{ \cos \theta } \times \sin \theta$

This implies that

$\tan( \theta) = \sec \theta \sin \theta$

When we multiply the right side by

$\frac{ \cos \theta}{ \cos \theta}$

we get:

$\tan( \theta) = \frac{ \sin \theta \cos \theta }{ \cos ^{2} \theta }$

$\tan( \theta) = \frac{ \sin 2\theta }{ 2 - 2\sin^{2} \theta }$

Etc