Question

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Answer 1

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Prove that $\sf \sec \theta \sqrt{1 - { \sin }^{2} \theta } = 1$

$\star\:\:\:\sf\large\underline\blue{Proof:-}$

$\sf \sec \theta \sqrt{1 - { \sin }^{2} \theta }$

$\sf = \sec \theta \times \sqrt{ { \cos }^{2} \theta }$

$\sf = \sec \theta \times \cos \theta$

$\sf = 1$

Therefore,

$\sf \sec \theta \sqrt{1 - { \sin }^{2} \theta } = 1$

Hence Proved.

Answer 2

Answer:

step by step explanation is here