Using Trig to find Missing Angles and Sides

Front

What is the primary purpose of using trigonometry in solving for missing angles and sides in triangles?

Back

To relate the angles and sides of triangles using ratios, allowing for the calculation of unknown values.

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse; CAH: Cosine = Adjacent/Hypotenuse; TOA: Tangent = Opposite/Adjacent.

Front

How do you find the sine of an angle in a right triangle?

Back

Sine of an angle = Length of the opposite side / Length of the hypotenuse.

Front

What is the formula to find the cosine of an angle in a right triangle?

Back

Cosine of an angle = Length of the adjacent side / Length of the hypotenuse.

Front

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

Back

Tangent of an angle = Length of the opposite side / Length of the adjacent side.

Front

How can you use inverse trigonometric functions to find an angle?

Back

By taking the inverse sine, cosine, or tangent of a ratio of sides to find the measure of the angle.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Front

If one angle in a right triangle is 44°, what is the measure of the other non-right angle?

Back

The other angle would be 46° (180° - 90° - 44°).

Front

What is the formula for finding a missing side using the tangent function?

Back

tan(angle) = opposite side / adjacent side; rearranged to find the opposite side: opposite side = tan(angle) * adjacent side.

Front

How do you set up an equation to solve for a missing side using sine?

Back

sin(angle) = opposite side / hypotenuse; rearranged to find the opposite side: opposite side = sin(angle) * hypotenuse.