Trigonometric Functions and Identities

The video tutorial covers the prevention of identity theft briefly before delving into mathematical concepts. It explains the correct notation for squaring negative numbers and the properties of square roots, emphasizing the existence of both positive and negative roots. The lesson then defines the six trigonometric ratios and their representation on the unit circle. Finally, it demonstrates the application of the Pythagorean identity to find trigonometric values, using a detailed example involving a reference triangle in the second quadrant.

What is the correct notation for squaring a negative number?

• Negative sign after the number squared

• Parentheses around the negative number before squaring

• Number squared without any sign

• Negative sign followed by the number squared

What does the square root symbol indicate?

• Neither positive nor negative square roots

• Only the positive square root

• Both positive and negative square roots

• Only the negative square root

Which trigonometric ratio is the reciprocal of sine?

• Tangent

• Cotangent

• Cosecant

• Secant

In the unit circle, what does the x-coordinate represent?

• Cosecant of theta

• Cosine of theta

• Tangent of theta

• Sine of theta

What is the Pythagorean identity?

• Sine theta plus cosine theta equals 1

• Cosine squared theta minus sine squared theta equals 1

• Sine squared theta plus cosine squared theta equals 1

• Tangent squared theta plus secant squared theta equals 1

If sine theta is 12/13 in the second quadrant, what is cosine theta?

• 5/13

• 12/13

• -5/13

• -12/13

What is the reciprocal of cosine?

• Sine

• Cosecant

• Tangent

• Secant

How do you find tangent theta using sine and cosine?

• Sine theta multiplied by cosine theta

• Sine theta plus cosine theta

• Sine theta divided by cosine theta

• Cosine theta divided by sine theta

What is the value of cotangent theta if tangent theta is -12/5?

• 12/5

• -5/12

• -12/5

• 5/12

Why is cosine negative in the second quadrant?

• Because y is negative

• Because x is negative

• Because y is positive

• Because x is positive