Question Bank: Trigonometric Functions

What does the word "trigonometry" literally mean?

Which of the following applications is NOT typically associated with trigonometry?

When an angle is measured in radians, how many radians correspond to a complete revolution?

Which direction indicates a positive angle measurement?

What is the measure of one degree in terms of radians?

An angle of -90° is equivalent to which positive angle?

If angle A measures 30°, what is the sine of angle A?

What is the cotangent in terms of sine and cosine?

The angle of elevation from a point to the top of a tree is 45°. If the point is 10 m from the base of the tree, what is the height of the tree?

If sin A = 3/5, what is cos A?

In a right triangle, if an angle measures 30°, what is the ratio of the opposite side to the hypotenuse?

An obtuse angle has a value between which of the following ranges?

If the vertex of an angle is at point O and the initial ray is along OA and the terminal ray is along OB, which direction do they rotate for a positive angle?

What is the term for an angle measurement equal to 0 radians?

Which ancient mathematician is credited with significant contributions to trigonometry?

What is the value of sin(90°)?

Which angle has a sine value of 0?

If cos(x) = 0, which of the following could be the value of x?

What is the complementary angle of 30°?

If tan(x) = sin(x)/cos(x), what is tan(45°)?

What is the identity for cos(x + y)?

Which of the following represents the angle sum formula for sine?

If x = 60°, what is the value of cos(2x)?

Which statement is true about angles in the second quadrant?

What is the period of the sine function?

How would you express tan(90°)?

If sin(x) = 1/2, which of the following could be a valid value of x?

Which of the following is a co-function identity?

What is cot(45°)?

If the angles x, y are in radians, what value does sin(x + y) take if x = y = π/4?

Which identity describes the relationship between sine and cosine for complementary angles?

What is the value of sin(0)?

Which angle has a sine value of 1?

For which values of x does cos(x) = 0?

What is the range of the sine function?

If sin(x) = 0, what can x represent?

What is the value of cos(π/3)?

What is the value of tan(π/4)?

The value of cosec(x) when sin(x) = 1/2 is:

Which of the following is an identity for cos(x + y)?

If sin(x) = 3/5, what is cos(x)?

What is the angle for which tan(x) = √3?

The period of the sine function is:

What is the smallest positive angle x for which cos(x) = 1?

If θ is an acute angle and sin(θ) = 4/5, what is cos(θ)?

The value of sin(3π/2) is:

In which quadrant will sin(x) be positive and cos(x) be negative?

For what angles does the tangent function become undefined?

Which of the following is true about the function cot(x)?

What is the value of sin(75°)?

What is the value of cos(−x) based on trigonometric identities?

If sin(A + B) = 0, what can you say about A + B?

What is the value of tan(π/4)?

What is the value of sin(−30°)?

Evaluate cos(105°) using sum of angles.

Find sin(−135°).

What is another way to express cos(A - B)?

What condition must be true for tan(A + B) to equal zero?

Using the identities, what is sin(165°)?

What is the value of cosec(−45°)?

What is the value of sin(π/3) - sin(π/6)?

Which of the following is a correct identity for tan(-A)?

Determine sin(−2π/3).

What is the value of cot(135°)?

If sin(A + B) = sinA cosB + cosA sinB, what does sin(A - B) equal?