MDTP Trigonometry

Question 1

What is the value of sin(30°)?

Accepted Answer

1/2

Answer

sin(30°) = 1/2, a standard value from the 30-60-90 triangle where the opposite side is half the hypotenuse.

Question 2

What is the value of cos(60°)?

Accepted Answer

1/2

Answer

cos(60°) = 1/2, derived from the 30-60-90 triangle where the adjacent side to 60° is half the hypotenuse.

Question 3

What is the value of tan(45°)?

Accepted Answer

1

Answer

tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

Question 4

Convert 180° to radians.

Accepted Answer

π

Answer

Multiplying 180° by π/180 gives π radians; a half-circle equals π radians.

Question 5

Which of the following is the fundamental Pythagorean identity?

Accepted Answer

sin²(θ) + cos²(θ) = 1

Answer

sin²(θ) + cos²(θ) = 1 follows directly from the Pythagorean theorem applied to a point on the unit circle.

MDTP - Mathematics Diagnostic Testing Project Practice Test