Trigonometric Ratios and Right Triangles

This video tutorial introduces the six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent. It explains the basic concepts of trigonometry, focusing on right angle triangles and the relationships between their sides. The video also covers how to apply these ratios to solve problems involving the lengths of triangle sides, providing a foundation for further exploration of trigonometric functions.

What is the longest side of a right-angle triangle called?

• Adjacent

• Opposite

• Base

• Hypotenuse

Which side is opposite to the angle theta in a right-angle triangle?

• Hypotenuse

• Adjacent

• Opposite

• Base

What is the formula for sine theta?

• Hypotenuse/Opposite

• Adjacent/Hypotenuse

• Opposite/Hypotenuse

• Opposite/Adjacent

Cosine theta is the ratio of which two sides?

• Opposite and Adjacent

• Hypotenuse and Opposite

• Adjacent and Hypotenuse

• Opposite and Hypotenuse

What is the relationship between tangent theta and the sides of a triangle?

• Opposite/Adjacent

• Adjacent/Opposite

• Hypotenuse/Adjacent

• Hypotenuse/Opposite

Cosecant theta is the reciprocal of which trigonometric ratio?

• Secant

• Sine

• Cosine

• Tangent

What is secant theta in terms of cosine theta?

• 1/Sine

• 1/Tangent

• 1/Cosine

• 1/Cotangent

Cotangent theta is the reciprocal of which ratio?

• Sine

• Tangent

• Cosine

• Secant

Why are trigonometric ratios important in solving triangle problems?

• They help find perimeter

• They help find angles

• They help find area

• They help find side lengths

How can you find an unknown side of a right-angle triangle using trigonometric ratios?

• By using area formula

• By using known side and angle

• By using angle bisectors

• By using Pythagorean theorem