Trigonometric Functions and Quadrants

The video tutorial explains how to find the remaining trigonometric functions given certain conditions for sine, cosine, and secant. It covers determining the correct quadrant for the angle and using the Pythagorean theorem to find missing sides of triangles. The tutorial provides examples for angles in different quadrants and demonstrates how to calculate sine, cosine, tangent, secant, cosecant, and cotangent.

If sine of theta is 9/41 and cosine is negative, in which quadrant is the angle located?

• Quadrant IV

• Quadrant I

• Quadrant III

• Quadrant II

Tags

CCSS.HSF.TF.C.8

What is the value of cosine theta if sine theta is 9/41 and the angle is in the second quadrant?

• 9/41

• -9/41

• 40/41

• -40/41

Tags

CCSS.HSF.TF.C.8

Given sine theta is 9/41, what is the value of secant theta?

• 41/9

• 9/41

• -41/40

• -41/9

Tags

CCSS.HSF.TF.A.2

If cosine theta is 1/3 and tangent is negative, in which quadrant is the angle located?

• Quadrant II

• Quadrant IV

• Quadrant I

• Quadrant III

Tags

CCSS.HSF.TF.C.8

What is the value of sine theta if cosine theta is 1/3 and the angle is in the fourth quadrant?

• -2√2/3

• -1/3

• 1/3

• 2√2/3

Tags

CCSS.HSF.TF.C.8

What is the value of secant theta if cosine theta is 1/3?

• -3

• -1/3

• 3

• 1/3

Tags

CCSS.HSF.TF.A.2

If secant is -4 and sine is positive, in which quadrant is the angle located?

• Quadrant II

• Quadrant I

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.C.8

What is the value of sine theta if secant is -4 and the angle is in the second quadrant?

• √15/4

• -√15/4

• 4/√15

• -4/√15

Tags

CCSS.HSF.TF.C.8

What is the value of tangent theta if secant is -4 and the angle is in the second quadrant?

• 1/√15

• √15

• -1/√15

• -√15

Tags

CCSS.HSF.TF.C.8

What is the value of cotangent theta if tangent theta is -√15?

• 1/√15

• -√15/15

• -1/√15

• √15/15

Tags

CCSS.HSF.TF.C.8