Sine Ratios in Right Triangles

This video tutorial introduces trigonometry, focusing on its application in finding triangle sides and angles. It begins with a review of the Pythagorean theorem and progresses to the introduction of trigonometric ratios: sine, cosine, and tangent. The video then delves into the sine ratio, explaining its significance and providing examples to illustrate its use in right-angled triangles.

What is the primary use of trigonometry in triangles?

• To measure the perimeter of a triangle

• To calculate the lengths and angles in triangles

• To determine the color of a triangle

• To find the area of a triangle

Which theorem is used to find the length of a side in a right triangle when two sides are known?

• Newton's Law

• Pythagoras' Theorem

• Archimedes' Principle

• Fermat's Last Theorem

If one side of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

• 6

• 7

• 8

• 5

What happens if one side of a triangle is removed?

• The triangle becomes a square

• The triangle becomes a circle

• The triangle disappears

• Trigonometry can be used to find the missing side

Who discovered the trigonometric ratios?

• Chinese

• Greeks

• Romans

• Egyptians

Which of the following is not a trigonometric ratio?

• Sine

• Cosine

• Tangent

• Secant

What is the sine of an angle in a right triangle?

• The ratio of the opposite side to the adjacent side

• The ratio of the opposite side to the hypotenuse

• The ratio of the adjacent side to the hypotenuse

• The ratio of the hypotenuse to the opposite side

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 0.6

• 0.8

• 0.5

• 0.7

What is the hypotenuse in a right triangle?

• The side adjacent to the right angle

• The side opposite the right angle

• The side opposite the smallest angle

• The shortest side

If the opposite side is 4 and the hypotenuse is 5, what is the sine of the angle?

• 0.6

• 0.8

• 0.5

• 0.7