Homework Practice

Printable assignment

Trigonometry and Probability Edge

Section A: Trigonometric Ratios and Identities

Question 1mcq

In a right triangle, sin θ equals:

A.Hypotenuse / Opposite side

B.Opposite side / Adjacent side

C.Opposite side / Hypotenuse

D.Adjacent side / Hypotenuse

Question 2mcq

What is tan 45°?

A.1

B.0

C.1/√3

D.√3

Question 3mcq

Which identity is correct?

A.sin²θ - cos²θ = 1

B.sin²θ + cos²θ = 1

C.tan²θ + cos²θ = 1

D.sinθ + cosθ = 1

Question 4mcq

If cos θ = adjacent/hypotenuse, then sec θ is:

A.Opposite / Adjacent

B.Adjacent / Hypotenuse

C.Hypotenuse / Adjacent

D.Opposite / Hypotenuse

Question 5mcq

What is sin 30°?

A.0

B.√3/2

C.1

D.1/2

Question 6mcq

If tan θ = 3/4, then the ratio of opposite side to adjacent side is:

A.3:5

B.3:4

C.4:3

D.5:4

Section B: Probability and Real-Life Reasoning

Question 7mcq

A fair coin is tossed once. What is the probability of getting heads?

A.1/4

B.0

C.1/2

D.1

Question 8mcq

A die is rolled once. What is the probability of getting an even number?

A.1/2

B.1/3

C.2/3

D.1/6

Question 9mcq

What is the probability of an impossible event?

A.1

B.Cannot be less than 1

C.0

D.1/2

Question 10mcq

A bag has 3 red balls and 2 blue balls. Probability of picking a blue ball is:

A.1/2

B.5/2

C.3/5

D.2/5

Question 11mcq

If the probability of rain tomorrow is 1, it means:

A.Rain is impossible

B.It will snow

C.Rain is certain

D.Rain may or may not happen equally

Question 12mcq

A card is picked from cards numbered 1 to 10. Probability of picking a number greater than 7 is:

A.1/2

B.7/10

C.1/10

D.3/10