Trigonometric Functions and Ratios

The video introduces trigonometry, focusing on right triangles and the basic trigonometric functions: sine, cosine, and tangent. It explains how these functions relate to the sides of a triangle and how to calculate them for specific angles. The video also covers using these ratios to solve problems involving missing values in triangles. Additionally, it introduces inverse trigonometric functions, known as arc functions, and demonstrates their use in solving triangles. The content is foundational for further studies in algebra, trigonometry, precalculus, and calculus.

What is the primary focus of trigonometry?

• Study of circles

• Study of triangles

• Study of squares

• Study of polygons

Which of the following is NOT a basic trigonometric function?

• Cosine

• Secant

• Sine

• Tangent

The sine of an angle in a right triangle is the ratio of which two sides?

• Opposite side to hypotenuse

• Adjacent side to hypotenuse

• Hypotenuse to opposite side

• Adjacent side to opposite side

What is the abbreviation for the sine function?

• tan

• sec

• cos

• sin

The cosine of an angle in a right triangle is the ratio of which two sides?

• Opposite side to hypotenuse

• Adjacent side to hypotenuse

• Opposite side to adjacent side

• Hypotenuse to adjacent side

What is the abbreviation for the cosine function?

• sin

• tan

• cos

• cot

The tangent of an angle in a right triangle is the ratio of which two sides?

• Adjacent side to hypotenuse

• Hypotenuse to opposite side

• Opposite side to hypotenuse

• Opposite side to adjacent side

What is the abbreviation for the tangent function?

• sec

• tan

• cos

• sin

Which trigonometric function would you use to find a side adjacent to a given angle and hypotenuse?

• Sine

• Cosine

• Tangent

• Secant

If the hypotenuse is 17 and the adjacent side is unknown, which function helps find the adjacent side?

• Cosecant

• Tangent

• Cosine

• Sine