Multiplying two trig functions using identities

Multiplying two trig functions using identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the breakdown of trigonometric problems using cofunction identities, focusing on cotangent and tangent relationships. It explains the concept of even and odd functions, highlighting that cosine and secant are even, while others are odd. The tutorial emphasizes simplifying trigonometric identities using sines and cosines as a starting point. It concludes with applying the division property to simplify expressions involving fractions, resulting in the negative secant of X.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a cofunction of cotangent?

Cosine

Secant

Tangent

Sine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric functions are considered even?

Tangent and Cotangent

Cosecant and Secant

Sine and Cosine

Cosine and Secant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a recommended first step when simplifying trigonometric expressions?

Apply the angle sum identities

Simplify in terms of sines and cosines

Use the Pythagorean identities

Convert to tangent and cotangent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if simplifying with sines and cosines does not help?

Apply the cofunction identities

Move on to another method

Use the double angle identities

Try using tangent and cotangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied when multiplying fractions in trigonometric expressions?

Division property

Subtraction property

Addition property

Multiplication property