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

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

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

• 41/9

• 9/41

• -41/40

• -41/9

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

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

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

• -3

• -1/3

• 3

• 1/3

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

• Quadrant II

• Quadrant I

• Quadrant III

• Quadrant IV

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

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

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

• 1/√15

• -√15/15

• -1/√15

• √15/15