Trigonometric Identities Quiz

What is the first step when you see fractions on one side of an identity?

• Work on the side without fractions

• Focus on the side with fractions

• Use co-functional identities

• Convert all functions to tangent

What should you do if none of the initial tips work for proving an identity?

• Start from the right side

• Give up

• Turn everything into sines and cosines

• Use only tangent functions

What is the significance of the angle in trigonometric identities?

• It must always be theta

• It must be squared

• It can be any variable

• It changes the identity

When should you convert trigonometric functions to sines and cosines?

• When the identity is already proven

• When functions are squared

• When functions are not squared

• When there are no fractions

In the first example, what is the result of combining sine squared and cosine squared?

• One

• Zero

• Negative one

• Two

What technique is used in the second example to simplify the expression?

• Adding extra terms

• Ignoring the denominator

• Multiplying by the conjugate

• Using the same sign

What is the result of multiplying a fraction by its conjugate?

• A more complex expression

• An unchanged fraction

• A simplified expression

• A larger fraction

What identity is used to replace cosine squared in the third example?

• sine squared + 1

• 1 - sine squared

• 1 + sine squared

• sine squared - 1

What is the purpose of using the difference of squares in the final example?

• To increase the exponent

• To simplify the expression

• To change the angle

• To add more terms

What is the key to proving identities according to the video?

• Using only one method

• Ensuring both sides are equal

• Ignoring the right side

• Changing the angle