Trigonometric Functions and Laws

This video tutorial covers solving triangles in trigonometry, focusing on right triangles and using trigonometric ratios such as sine, cosine, and tangent. It explains how to find missing angles and sides using the law of sines and cosines, and provides step-by-step instructions for solving different types of triangles. The tutorial also includes tips for test preparation and emphasizes the importance of understanding the relationships between angles and sides in triangles.

What is the first step in solving a right triangle?

• Calculate the area

• Label the sides and angles

• Use the Pythagorean theorem

• Identify the type of triangle

Which trigonometric ratio is used for opposite over hypotenuse?

• Cosine

• Tangent

• Sine

• Secant

How do you find an angle measure using sine?

• Use inverse sine

• Use cosine

• Use tangent

• Use the sine function directly

What is the sum of all angles in a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which trigonometric ratio is used for adjacent over hypotenuse?

• Cosine

• Cosecant

• Sine

• Tangent

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

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

How do you solve for a side using cosine?

• Multiply the hypotenuse by cosine

• Multiply the adjacent side by cosine

• Divide the hypotenuse by cosine

• Divide the adjacent side by cosine

What is the law of sines used for?

• Solving any triangle with two angles and a side

• Solving any triangle with three sides

• Solving any triangle with two sides and an included angle

• Solving right triangles

How do you find the third angle in a triangle?

• Divide the two known angles

• Add the two known angles

• Multiply the two known angles

• Subtract the two known angles from 180

What is the law of cosines used for?

• Solving any triangle with three sides

• Solving any triangle with two sides and an included angle

• Solving any triangle with two angles and a side

• Solving right triangles