Find the six trigonometric functions when given sine and a constraint on cosine

The video tutorial explains how to find the values of six trigonometric functions given sine of 3/5 with the angle in quadrant 2. It highlights the need to use right triangle trigonometry when the point is not on the unit circle. The tutorial walks through setting up the triangle, using the Pythagorean theorem, and calculating sine, cosine, tangent, and their reciprocals. It emphasizes the importance of understanding quadrants and constraints to determine the correct triangle.

Why is the sine value of 3/5 not found on the unit circle?

• Because the sine value is too large

• Because the hypotenuse is not 1

• Because the radius is 5

• Because the angle is in quadrant 3

What is the missing side length of the triangle if sine is 3/5 and the angle is in quadrant 2?

• -5

• 4

• -4

• 5

Which trigonometric function is the reciprocal of sine?

• Secant

• Cotangent

• Cosecant

• Tangent

What is the cosine of the angle if the adjacent side is -4 and the hypotenuse is 5?

• 5/3

• 3/5

• -4/5

• -3/4

How do you determine which triangle to use when given constraints?

• By calculating the sine value

• By using the given constraints and quadrants

• By using the Pythagorean theorem

• By checking the unit circle