Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ
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Answer: -20/21
Step-by-step explanation:
Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].
But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.
Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21