contestada

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

Respuesta :

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.

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas