Quiz for Trigonometric Ratios and Identities-

Q1: If sin A = 3/5, and A is acute, find cos A.

A. 4/5 B. 3/4 C. 5/3 D. 5/4

Q2: What is the value of sin²θ + cos²θ?

A. 0 B. 1 C. 2 D. Depends on θ

Q3: If tan A = √3, what is the value of sin A?

A. 1/2 B. √3/2 C. √3/√10 D. 3/4

Q4: cot A is the reciprocal of which trigonometric function?

A. tan A B. sin A C. cos A D. sec A

Q5: If cos A = 12/13, and A is acute, then find sin A.

A. 5/13 B. 13/5 C. √119/13 D. 12/13

Q6: Which identity is known as the Pythagorean identity?

A. sin A + cos A = 1 B. sin²A + cos²A = 1 C. tan²A + 1 = sec A D. cos²A - sin²A = 1

Q7: If sin θ = a/b, what is cos θ in terms of a and b?

A. √(b² - a²)/b B. a/√(b² + a²) C. b/a D. a² + b²

Q8: sec θ is undefined for which value?

A. 0° B. 90° C. 180° D. 360°

Q9: tan²θ + 1 = ?

A. cot²θ B. sec²θ C. cosec²θ D. cos²θ

Q10: Which of these equals sin 90°?

A. 0 B. 1 C. 0.5 D. √3/2

Q11: What is the value of sin 45°?

A. 1/2 B. √2/2 C. √3/2 D. 1

Q12: If sin θ = 1/2, then θ = ?

A. 30° B. 45° C. 60° D. 90°

Q13: What is the value of tan 0°?

A. 0 B. 1 C. undefined D. ∞

Q14: Which of the following is always negative in second quadrant?

A. sin θ B. tan θ C. cosec θ D. sec θ

Q15: If sec θ = 5/4, find tan θ.

A. 3/4 B. 4/3 C. 5/3 D. 3/5

Q16: cos²A - sin²A equals?

A. 1 B. cos 2A C. sin 2A D. 0

Q17: What is the value of sin(90° - θ)?

A. cos θ B. sin θ C. tan θ D. cot θ

Q18: What is the value of cos(90° - θ)?

A. sin θ B. cos θ C. tan θ D. cot θ

Q19: What is the period of sin x?

A. 90° B. 180° C. 360° D. 720°

Q20: If tan A = 1, then A = ?

A. 30° B. 60° C. 45° D. 90°

Q21: What is the reciprocal of cos θ?

A. tan θ B. cot θ C. sec θ D. cosec θ