Evaluate trig functions using trig identities and cofunction identities

Evaluate trig functions using trig identities and cofunction identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers trigonometric relationships, focusing on the reciprocals of cosine, secant, tangent, and cotangent. It explains how to find cosine from secant and cotangent from tangent, using reciprocal identities. The tutorial also discusses cofunction identities, particularly cotangent of 90 degrees minus theta equating to tangent of theta. Finally, it demonstrates calculating sine using known values of tangent and cosine, emphasizing the importance of understanding these relationships for solving trigonometric problems.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of secant of Theta given in the problem?

2

6

5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is cosine related to secant?

Cosine is the sum of secant

Cosine is the square of secant

Cosine is the reciprocal of secant

Cosine is the product of secant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of tangent?

Sine

Cosine

Cotangent

Secant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process called when you remove a radical from the denominator?

Normalization

Factorization

Simplification

Rationalization

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between cotangent of 90 degrees minus Theta and tangent?

Cotangent of 90 degrees minus Theta is equal to sine

Cotangent of 90 degrees minus Theta is equal to cosine

Cotangent of 90 degrees minus Theta is equal to tangent

Cotangent of 90 degrees minus Theta is equal to secant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can sine be expressed using tangent and cosine?

Sine is the quotient of tangent and cosine

Sine is the sum of tangent and cosine

Sine is the difference of tangent and cosine

Sine is the product of tangent and cosine

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for sine in terms of known values?

2 radical 6 minus 5

2 radical 6 plus 5

2 radical 6 times 5

2 radical 6 over 5