if sin 0= √3/2 ,cos0=-1/2 , then 0 lies in
a. first quadrant
b. second quadrant
c. third quadrant
d. fourth quadrant
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- In quadrant 1=all trigonometric values are positive[sin, cos, tan, cot, sec, cosec]
- In quadrant 2=sin and cosec values are positive
- In quadrant 3=tan and cot values are positive
- In quadrant 4= cos and sec values are positive
- So from the question we can state that sin theta is positive and cos theta is negative.
- From the criteria we know about the quadrants we can know that
- Sin theta is positive in quadrant 1 and quadrant 2
- Cos theta is negative in quadrant 2 and quadrant 3
- In the both above-mentioned statments [4,5] the only quadrant which satisfies both conditions that are sin theta should be positive and cos theta is negative is quadrant 2
HOPE YOU'LL UNDERSTAND
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