Trigonometric Functions and Angles

The video tutorial explains how to find the cosine of 35 pi over 4 by first determining its coterminal angle, identifying the quadrant it lies in, calculating the reference angle, and finally using the special triangle to find the cosine value. The process involves converting radians to degrees, understanding quadrant properties, and applying trigonometric identities.

What is the main problem being solved in this tutorial?

• Finding the sine of 35π/4

• Finding the reference angle and cosine of 35π/4

• Finding the secant of 35π/4

• Finding the tangent of 35π/4

What is the first step in finding the coterminal angle of 35π/4?

• Subtract 2π from 35π/4

• Add 2π to 35π/4

• Subtract 32π from 35π/4

• Add 32π to 35π/4

What is the significance of a coterminal angle?

• It helps in finding the tangent value

• It helps in determining the quadrant

• It helps in finding the sine value

• It helps in determining the cosecant value

How is the coterminal angle of 35π/4 expressed in degrees?

• 135 degrees

• 225 degrees

• 90 degrees

• 180 degrees

Why is it useful to convert angles to degrees?

• To find the tangent value

• To simplify calculations

• To determine the quadrant easily

• To find the sine value

What is the relationship between radians and degrees?

• π radians = 360 degrees

• π radians = 270 degrees

• π radians = 180 degrees

• π radians = 90 degrees

What is the formula to convert radians to degrees?

• Multiply by 180/π

• Multiply by π/360

• Multiply by π/180

• Multiply by 360/π

In which quadrant does the angle 35π/4 lie?

• Quadrant IV

• Quadrant I

• Quadrant II

• Quadrant III

Which trigonometric functions are positive in Quadrant II?

• All functions

• Tangent and Cotangent

• Cosine and Secant

• Sine and Cosecant

What is the cosine of an angle in Quadrant II?

• Negative

• Undefined

• Positive

• Zero