Exact value and Inverse Trig (Part 2: TEST) degrees

Front

What is the sine function and its range?

Back

The sine function, denoted as sin(Θ), is a trigonometric function that relates the angle Θ to the ratio of the length of the opposite side to the hypotenuse in a right triangle. Its range is from -1 to 1.

Front

What are the exact values of sin(30°) and sin(150°)?

Back

sin(30°) = 1/2 and sin(150°) = 1/2.

Front

What is the tangent function and its value at 180°?

Back

The tangent function, denoted as tan(Θ), is the ratio of the sine to the cosine of an angle. tan(180°) = 0.

Front

What is the definition of the inverse sine function (arcsin)?

Back

The inverse sine function, denoted as arcsin(x), is the function that returns the angle whose sine is x, with a range of [-90°, 90°].

Front

What is the definition of the inverse secant function (arcsec)?

Back

The inverse secant function, denoted as arcsec(x), is the function that returns the angle whose secant is x, with a range of [0°, 90°) and (90°, 180°].

Front

What is the value of Arcsec(-2)?

Back

Arcsec(-2) = 120°.

Front

What is the cotangent function and its relationship to tangent?

Back

The cotangent function, denoted as cot(Θ), is the reciprocal of the tangent function: cot(Θ) = 1/tan(Θ).

Front

What is the value of cot^-1(√3/3)?

Back

cot^-1(√3/3) = 60°.

Front

What is the range of the cotangent function?

Back

The cotangent function has a range of all real numbers.

Front

What is the relationship between sine and cosine for complementary angles?

Back

For complementary angles, sin(Θ) = cos(90° - Θ).