The value of $ heta$, satisfying both the equation $\cos heta=\frac{1}{\sqrt{2}}$ and $ an heta=-1$ in $[0,2 \pi]$, is

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The value of $	heta$, satisfying both the equation $\cos 	heta=\frac{1}{\sqrt{2}}$ and $	an 	heta=-1$ in $[0,2 \pi]$, is

Aicharya · Accepted Answer

$\begin{aligned} & \cos 	heta=\frac{1}{\sqrt{2}} 	ext { and } 	an 	heta=-1 	heta \in[0,2 \pi] \ & \Rightarrow 	heta=\frac{\pi}{4} 	ext { or } \frac{7 \pi}{4} 	ext { and } 	heta=\frac{3 \pi}{4} 	ext { or } \frac{7 \pi}{4} \ & \Rightarrow 	heta=\frac{7 \pi}{4}\end{aligned}$

The value of $\theta$, satisfying both the equation $\cos \theta=\frac{1}{\sqrt{2}}$ and $\tan \theta=-1$ in…

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