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 \sin \theta = \frac{3}{5}, what is \cos \theta? (Assume \theta is in the first quadrant.)

If tan θ = 1, what is the value of θ between 0° and 90°?

If the adjacent side is 9 units and the opposite side is 12 units, what is tan θ?

If the hypotenuse is 10 units and the adjacent side is 6 units, what is cos θ?

If the hypotenuse is 13 units and the opposite side is 5 units, what is \sin \theta?

If the opposite side is 7 units and the adjacent side is 24 units in a right-angled triangle, what is \tan \theta?

If the opposite side is 8 units and the hypotenuse is 17 units, what is \sin \theta?

In a right-angled triangle, if the adjacent side to angle \theta is 4 units and the hypotenuse is 5 units, find \cos \theta.

In a right-angled triangle, if the length of the side opposite to angle \theta is 3 units and the hypotenuse is 5 units, what is \sin \theta?

State the Pythagorean identity involving sin θ and cos θ.

State the three primary trigonometric ratios.

What is the value of sin 90°?