Answered

is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?
A. false
B. true; quadrants 1 and 4
C. true; quadrants 2 and 3
D. true; quadrants 1 and 3

Answer :

Sueraiuka

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

[tex] { \sin }^{2} theta \: + {cos}^{2}theta = 1[/tex]

[tex] {cos}^{2} \: theta = 1 - {sin}^{2} \: theta[/tex]

[tex]cos \: theta = \sqrt{1 - { \sin }^{2}theta } [/tex]

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

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