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

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

Complementary Trigonometric Ratios

Prove the fol...

Question

Prove the following trigonometric identities.

$\frac{1 + \sin θ}{\cos θ} + \frac{\cos θ}{1 + \sin θ} = 2 \sec θ$

Open in App

Solution

Suggest Corrections

Similar questions

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

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

\frac{1 + sin θ}{cos θ} + \frac{cos θ}{1 + sin θ} = 2 sec θ

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

Prove the following trigonometric identities:

$\frac{(1 + c o t^{2} θ) t a n θ}{s e c^{2} θ} = c o t θ$

Join BYJU'S Learning Program