if cos(x) = -1/4 and tan(x) < 0, what is sin(2x)

Question

contestada

Respuesta :

Аноним Аноним · Answer 1 · 2020-11-19T20:06:14+01:00

Answer:

B is correct: (-sqrt15)/8

Step-by-step explanation:

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-04-07T14:10:00+02:00

The value of the x is 104.5° then the value of the sin 2x is -0.49. Then the correct option is B.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

If cos(x) = -1/4 and tan(x) < 0

Then the value of the x will be

[tex]\begin{aligned} \cos x &= - \dfrac{1}{4}\\\\x &= \cos^{-1} \dfrac{-1}{4}\\\\x &= 104.5^o \end{aligned}[/tex]

Then the value of the sin 2x will be

[tex]\sin 2x = \sin 2*104.5^o\\\\\sin 2x = \sin 209^o\\\\\sin 2x = -0.4848 \approx 0.49[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523