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Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ

Given That Cosθ 2129 And The Angle Θ Terminates In Quadrant II Then What Is The Value Of Tan Θ class=

Sagot :

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