Prove the following trigonometric identities-1-sin- 2-1-sin- 22 cos 2 -1-sin 2 - 1-sin 2 -

We have to prove that . We know that, So, nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratios of Multiples of an Angle

Prove the fol...

Question

Prove the following trigonometric identities.

$\frac{{(1 + \sin θ)}^{2} + {(1 - \sin θ)}^{2}}{2 \cos^{2} θ} = \frac{1 + \sin^{2} θ}{1 - \sin^{2} θ}$

Open in App

Solution

Suggest Corrections

Similar questions

{cot}^{2} θ - \frac{1}{{sin}^{2} θ} = - 1

Prove the following trigonometric identities:

$\frac{1 + s e c θ}{s e c θ} = \frac{s i n^{2} θ}{1 - c o s θ}$

\frac{(1 + sin θ)^{2} + (1 - sin θ)^{2}}{2 {cos}^{2} θ} = (\frac{1 + {sin}^{2} θ}{1 - {sin}^{2} θ})

\frac{1 - \cos 2 θ + \sin 2 θ}{1 + \cos 2 θ + \sin 2 θ} = \tan θ

Join BYJU'S Learning Program