If tan ^{2} theta = sin ^{2} theta + cos ^{2} | vedclass

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(B) Given the equation: $	an ^{2} 	heta = \sin ^{2} 	heta + \cos ^{2} 	heta$We know the fundamental trigonometric identity: $\sin ^{2} 	heta + \c

Vedclass · Accepted Answer

$45$

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(B) Given the equation: $	an ^{2} 	heta = \sin ^{2} 	heta + \cos ^{2} 	heta$We know the fundamental trigonometric identity: $\sin ^{2} 	heta + \cos ^{2} 	heta = 1$Substituting this identity into the equation,we get: $	an ^{2} 	heta = 1$Taking the square root on both sides,and considering $0 Since $	an 45^{\circ} = 1$,we conclude that $	heta = 45^{\circ}$.

If $\tan ^{2} \theta = \sin ^{2} \theta + \cos ^{2} \theta$ and $0 < \theta < 90^{\circ}$,then the value of $\theta$ is ...... (in $^{\circ}$)

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