Trigonometric Functions and Angles

This video tutorial demonstrates how to solve a right triangle when given the lengths of two sides. It begins by identifying the known values and uses trigonometric functions to calculate the unknown angles and side. The sine function is used to find angle A, and the complementary angle property is used to determine angle B. The cosine function helps calculate the length of side B. Finally, the Pythagorean theorem is applied to verify the results, acknowledging minor discrepancies due to rounding.

What is the measure of angle C in a right triangle?

• 90 degrees

• 60 degrees

• 30 degrees

• 45 degrees

If side A is 8 feet and side C is 12 feet, what is the sine of angle A?

• 0.67

• 0.75

• 0.5

• 0.8

What is the approximate measure of angle A in degrees?

• 60.0 degrees

• 30.5 degrees

• 41.8 degrees

• 50.2 degrees

What is the sum of the two acute angles in a right triangle?

• 180 degrees

• 90 degrees

• 60 degrees

• 120 degrees

If angle A is approximately 41.8 degrees, what is the measure of angle B?

• 48.2 degrees

• 50.0 degrees

• 38.2 degrees

• 45.0 degrees

Which trigonometric function is used to find the length of side B using angle A?

• Secant

• Sine

• Tangent

• Cosine

What is the approximate length of side B in feet?

• 8.9 feet

• 9.5 feet

• 10.2 feet

• 7.5 feet

Which theorem can be used to verify the length of side B?

• Triangle Sum Theorem

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

What is the formula for cosine of angle A in terms of sides B and C?

• B/C

• A/B

• A/C

• C/B

Why might there be a slight error when verifying the length of side B using the Pythagorean theorem?

• Rounding of angle A and side B

• Calculator error

• Incorrect angle measurement

• Incorrect side labeling