Question

Find an angle θ with 0° < θ < 360° that has the same:

Sin function value as 190°
θ = ____ degrees
Cosine function value as 190°
θ = _____degrees

Answer 1

To find an angle with the same sine and cosine function values as 190°, we can use the symmetry properties of the trigonometric functions.

Step-by-step explanation:

To find an angle θ with 0° < θ < 360° that has the same sine function value as 190°, we need to find an angle that has the same sine value as sin(190°). We can find this using the symmetry property of the sine function. Since sin(190°) = sin(180° + 10°), we know that sin(190°) = sin(10°).

For an angle with the same cosine function value as 190°, we can use the symmetry property of the cosine function. Since cos(190°) = -cos(180° + 10°), we know that cos(190°) = -cos(10°).