Inverse Trigonometric Functions and Angles

The video introduces inverse trigonometric functions, explaining their purpose and how they can be used to find angles from given trigonometric values. It covers the concept of inverse functions, illustrating how they undo each other, and provides examples using sine, cosine, and tangent. The video demonstrates solving right triangles using inverse trig functions and includes practical examples, such as the 3-4-5 triangle. It emphasizes the use of calculators for finding angles and concludes with a summary of key points.

What is the main purpose of inverse trigonometric functions?

• To determine the type of triangle

• To calculate the area of a triangle

• To find an angle given a trigonometric function value

• To find the length of a side in a triangle

If the sine of an angle is 1/2, what is the angle using inverse sine?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

What is the inverse function of cosine commonly called?

• Arc Cotangent

• Arc Cosine

• Arc Sine

• Arc Tangent

How do you find an angle if you know the sine value using a calculator?

• Use the square root key

• Use the inverse sine key

• Use the tangent key

• Use the cosine key

What is the angle if tan(theta) = 3.54?

• 48.8 degrees

• 60 degrees

• 74.2 degrees

• 30 degrees

Which theorem is used to find the hypotenuse in a right triangle?

• Tangent Rule

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

If side A is 44.3 cm and side B is 55.9 cm, what is the hypotenuse?

• 80 cm

• 50 cm

• 60 cm

• 71.3 cm

In a right triangle, if angle A is 38.4 degrees, what is angle B?

• 51.6 degrees

• 45 degrees

• 60 degrees

• 30 degrees

What is the sine of angle A in a 3-4-5 triangle?

• 5/4

• 3/5

• 4/5

• 5/3

If angle A in a 3-4-5 triangle is 36.9 degrees, what is angle B?

• 30 degrees

• 60 degrees

• 45 degrees

• 53.1 degrees