What are the Inverse Trigonometric functions and what do they mean?

The video tutorial explains inverse trigonometric functions, focusing on sine, cosine, and tangent. It begins by addressing common student challenges and reviews the properties of right triangles, including the roles of angles Theta and alpha. The tutorial then delves into trigonometric ratios, explaining how sine, cosine, and tangent are defined as ratios of triangle sides. It introduces inverse trigonometric functions, explaining how they determine angles from given ratios. The video concludes with practical applications and a summary of key points.

What are the primary trigonometric functions discussed in the video?

• Cosine, Cotangent, Secant

• Tangent, Cotangent, Secant

• Sine, Secant, Cosecant

• Sine, Cosine, Tangent

In a right triangle, what is the side opposite to the angle called?

• Hypotenuse

• Adjacent

• Opposite

• Base

How is the sine of an angle in a right triangle defined?

• Adjacent over Opposite

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

What does the cosine of an angle represent in a right triangle?

• Opposite over Adjacent

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

• Opposite over Hypotenuse

What is the main purpose of inverse trigonometric functions?

• To find the area of a triangle

• To calculate the hypotenuse

• To determine the angle from a given ratio

• To find the ratio of sides

If the sine inverse of a ratio is calculated, what does it provide?

• The perimeter of the triangle

• The area of the triangle

• The angle corresponding to the ratio

• The length of the hypotenuse

What should you ensure about your calculator when finding inverse trigonometric values?

• It is in graphing mode

• It is in basic mode

• It is in degrees or radians mode

• It is in scientific mode