Trigonometric Functions and Angles

Mr. Tarrou explains how to set up trigonometric functions for unknown angles using points on the terminal side. He demonstrates the process with examples, emphasizing the importance of reference triangles and the Pythagorean theorem. The video also covers determining the quadrant of an angle based on the signs of trigonometric functions and calculating reference angles. The lesson is designed to help students understand trigonometry concepts without relying on calculators.

What is the sine of theta if the point on the terminal side is (-2, -5)?

• 2/√29

• -2/√29

• 5/√29

• -5/√29

Which trigonometric function is the reciprocal of sine?

• Tangent

• Secant

• Cosine

• Cosecant

In which quadrant is the angle if cosine is negative and cosecant is positive?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

If the cosine of theta is -3/5 and theta is in quadrant II, what is the sine of theta?

• 3/5

• -3/5

• 4/5

• -4/5

What is the tangent of theta if the cosine is -3/5 and theta is in quadrant II?

• -4/3

• 4/3

• -3/4

• 3/4

If the tangent of theta is 5/12 and sine is negative, in which quadrant is theta?

• Quadrant III

• Quadrant II

• Quadrant I

• Quadrant IV

What is the reference angle if the rotation is 170 degrees?

• 40 degrees

• 10 degrees

• 20 degrees

• 30 degrees

If an angle rotates -20 degrees, what is the reference angle?

• 20 degrees

• 180 degrees

• 340 degrees

• 160 degrees

What is the reference angle for a rotation of 340 degrees?

• 10 degrees

• 40 degrees

• 20 degrees

• 30 degrees

What is the value of the hypotenuse if the sides of a right triangle are 5 and 12?

• 17

• 13

• 15

• 10