-
Trigonometry
What is the value of sin(θ) if cos(θ) = 0.8?
-
1 Reply
-
To find the value of sin(θ) when cos(θ) = 0.8, we can use the trigonometric identity:
sin²(θ) + cos²(θ) = 1
We know that cos(θ) = 0.8, so we can substitute this value into the equation:
sin²(θ) + (0.8)² = 1
sin²(θ) + 0.64 = 1
sin²(θ) = 1 – 0.64
sin²(θ) = 0.36
Taking the square root of both sides:
sin(θ) = ±√0.36
sin(θ) = ±0.6
Therefore, when cos(θ) = 0.8, the value of sin(θ) can be either +0.6 or -0.6.
