Evaluate trig functions using identities

The video tutorial explains the properties of sine as an odd function and cosine as an even function. It covers the identities of sine and cosecant, demonstrating how to calculate the sine of a negative angle and the cosecant using reciprocal identities. The tutorial concludes with a calculation example, showing how to combine these identities to find a solution using a calculator.

What is the property of the sine function when dealing with negative angles?

• It becomes the reciprocal of the original sine.

• It becomes zero.

• It becomes the negative of the original sine.

• It remains the same.

Which trigonometric functions are considered even?

• Cosine and Secant

• Sine and Cosine

• Tangent and Cotangent

• Sine and Cosecant

What is the reciprocal identity of the cosecant function?

• Cosecant is the reciprocal of cosine.

• Cosecant is the reciprocal of secant.

• Cosecant is the reciprocal of tangent.

• Cosecant is the reciprocal of sine.

If the sine of an angle is 0.4, what is the cosecant of the angle?

• 0.4

• 2.5

• 1.4

• 0.25

What is the sum of the sine of a negative angle and the cosecant of the angle if the sine of the angle is 0.4?

• 2.1

• 2.5

• 1.6

• 0.6