Worksheet: Introduction to Trigonometry

True and False

Q1: cos A ≤ 1 for every acute angle A

Q2: tanA = sinA/cosA

Q3: secA = 1cosA, for an acute angle

Q4: sin60º = 2sin30º

Q5: SinA + CosA = 1

Short Answer Questions

Q6: Write the values cos 0°, cos 45°, cos 60° and cos 90°. What happens to the values of cos as angle increases from 0° to 90°?

Q7: Write the values of tan 0°,tan 30°, tan 45°, tan 60° and tan 90°. What happens to the values of tan as angle increases from 0° to 90°?

Q8: If cosec A = √10 . find other five trigonometric ratios.

Q9: The value of (sin 30^∘ + cos 30^∘) - (sin 60^∘ + cos 60^∘) is

Q10: Evaluate the following: 2sin² 30^∘ - 3cos²45^∘ + tan²60^∘

Q11: Evaluate:
cot²30^∘  - 2cos²60^∘ - 3/ 4sec²45^∘ - 4sec²30^∘

Q12: Write the values of sin 0°, sin 30°, sin 45°, sin 60° and sin 90°. What happens to the values of sin as angle increases from 0° to 90°?

Q13: If sin A = 3/5 .find cos A and tan A.

Q14: In a right triangle ABC right angled at B if sinA = 3/5. find all the six trigonometric ratios of C.

Q15: If cos B = 5/13, find sin B and tan B.

You can access the solutions to this worksheet here.