Question

0 !sin θ = -3/7, π < θ < 3π/2

a) θ = -0.56 radians
b) θ = 2.57 radians
c) θ = -2.57 radians
d) θ = 0.56 radians

Answer 1

To find the value of θ, we can use the inverse sine function (sin⁻¹) to find the angle whose sine is -3/7. Using a calculator or a table of trigonometric values, we find that the angle whose sine is -3/7 is -0.56 radians. Therefore, the correct answer is (a) θ = -0.56 radians.

Step-by-step explanation:

Given: 0!sin θ = -3/7We know that 0! = 1, so we can rewrite the equation as sin θ = -3/7.

Now, we need to find the value of θ.

To find θ, we can use the inverse sine function (sin⁻¹) to find the angle whose sine is -3/7.

Using a calculator or a table of trigonometric values, we find that the angle whose sine is -3/7 is approximately -0.56 radians.

Therefore, the correct answer is (a) θ = -0.56 radians.