Use even odd identities to help solve trig equation with cosine

The video tutorial covers even and odd identities in trigonometry, focusing on the behavior of trigonometric functions with negative angles. It explains the relationship between cosecant and sine, emphasizing their reciprocal nature. The tutorial also demonstrates solving trigonometric equations using the unit circle, identifying specific angles where sine is negative. Finally, it discusses the periodic nature of the sine function, highlighting how solutions repeat every 2π.

Which trigonometric functions are considered even?

• Tangent and Cotangent

• Sine and Cosecant

• Sine and Tangent

• Cosine and Secant

What is the reciprocal of the cosecant function?

• Secant

• Sine

• Tangent

• Cosine

When rationalizing the denominator, what is the simplified form of 1/y if y = sqrt(3)/2?

• 2/sqrt(3) * sqrt(3)/sqrt(3)

• 2/sqrt(3)

• sqrt(3)/2

• 1/sqrt(3)

In which quadrants is the sine function negative?

• First and Second

• First and Fourth

• Second and Third

• Third and Fourth

How often does the sine function repeat its values?

• Every π

• Every 3π

• Every π/2

• Every 2π