Respuesta :
Answer:
The value of cos(2x) = 7/25
Hence, option C is true.
Step-by-step explanation:
Using the trigonometric identity
cos 2x = 1 - 2sin²x
Given
- sin(x) = -3/5
- cos(x) < 0
so substituting the values
cos 2x = 1 - 2sin²x
= 1 - 2 (-3/5)²
= 1 - 2 (9/25)
= 1 - 18/25
= 7/25
Therefore,
The value of cos(2x) = 7/25
Hence, option C is true.