subject

Trigonometric Ratios

Math ⇒ Trigonometry

Trigonometric Ratios starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Trigonometric Ratios. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 9
Explain what is meant by the 'opposite side' in a right-angled triangle with respect to a given angle.
Explain why tan 90° is undefined.
If cos θ = 0.6 and the hypotenuse is 10 units, what is the length of the adjacent side?
If sin θ = 0.8 and the hypotenuse is 10 units, what is the length of the opposite side?
If cos θ = 0.6 and the hypotenuse is 10 units, what is the length of the adjacent side?
If sin θ = 0.8 and the hypotenuse is 10 units, what is the length of the opposite side?
If sin θ = 3/5, what is cos θ? (Assume θ is in the first quadrant.)
If the adjacent side is 9 units and the opposite side is 12 units, what is tan θ?
If sin θ = 0.5, what is the value of θ in degrees? (1) 30° (2) 45° (3) 60° (4) 90°
Which of the following is NOT a trigonometric ratio? (1) Sine (2) Cosine (3) Tangent (4) Gradient
Which of the following is the correct definition of tan θ in a right-angled triangle? (1) Opposite/Adjacent (2) Adjacent/Opposite (3) Hypotenuse/Opposite (4) Opposite/Hypotenuse
Which of the following is the correct value of cos 60°? (1) 0.5 (2) 0.866 (3) 1 (4) 0
Fill in the blank: The ratio of the adjacent side to the hypotenuse in a right-angled triangle is called ________.
Fill in the blank: The reciprocal of tangent is ________.
Fill in the blank: The value of cos 0° is ________.
Fill in the blank: The value of cos 45° is ________.
True or False: tan 45° = 1.
True or False: The hypotenuse is always the longest side in a right-angled triangle.
True or False: The value of cos 0° is 1.
True or False: The value of cos 30° is √3/2.