Question

√1-sin^2 theta = cos theta​

Answer 1

Step-by-step explanation:

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

We know that

${ \sin}^{2} \theta + { \cos}^{2}\theta = 1$

${ \cos}^{2}\theta = 1 - { \sin}^{2} \theta$

Taking L.H.S

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

$\sqrt{{ \cos }^{2} \theta}$

${{ \cos }\theta}$

L.H.S = R.H.S

Hence proved

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