If sin θ = - frac{1}{{√ 2 }} and tan θ = 1, then θ lies in which quadrant

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3.Trigonometrical Ratios, Functions and Identities

easy

If $\sin \theta = - \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1,$ then $\theta $ lies in which quadrant

A

First

B

Second

C

Third

D

Fourth

Solution

(c) $\sin \theta = – \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1$

$ \Rightarrow $$\sin \theta = \sin 225^\circ \Rightarrow \theta = 225^\circ $

Since $\sin \theta $ is $ – ve$ and $\tan \theta $is $ + ve$ in third quadrant.

Standard 11

Mathematics

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