Trigonometry

In a right-angled triangle, if one acute angle measures 30 degrees, what is the measure of the other acute angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Given a right-angled triangle with an angle of 45 degrees and the side opposite this angle is 8 cm. What is the length of the hypotenuse?

• 8√2 cm

• 4√2 cm

• 8 cm

• 4 cm

If sin θ = 0.6, what is the value of cos θ?

• 0.6

• 0.4

• 0.8

• 0.2

In a triangle, the measure of one angle is twice the measure of another angle. If the sum of the measures of these two angles is 120 degrees, what are the measures of the two angles?

• a) 40 degrees and 80 degrees

• b) 30 degrees and 60 degrees

• c) 50 degrees and 100 degrees

• d) 45 degrees and 90 degrees

In a unit circle, what is the value of sin(π/4)?

• 1

• 0

• √2/2

• 1/√2

If sec θ = 2, what is the value of cos θ?

• 1/2

• 2

• √2

• 1/√2

The length of the adjacent side to an angle in a right-angled triangle is 5 cm, and the length of the hypotenuse is 13 cm. What is the value of sin θ?

• 12/13

• 5/12

• 13/5

• 5/13

If tan θ = 3/4, what is the value of cos θ?

• 3/4

• 4/5

• 4/3

• 5/4

The length of one side of a right-angled triangle is 12 cm, and the length of another side is 5 cm. What is the length of the hypotenuse?

• 7 cm

• 13 cm

• 17 cm

• 25 cm

If cosec θ = 2, what is the value of sin θ?

• 1/2

• 1/3

• 2

• 3