Where do the basic trigonometric identities come from

Where do the basic trigonometric identities come from

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the basics of right triangles, the introduction of the XY coordinate system, and the concept of a unit circle. It explains various trigonometric identities, including quotient, reciprocal, and Pythagorean identities. The tutorial also discusses even and odd functions, highlighting the properties of cosine and sine. Finally, it introduces cofunction identities, explaining their relationships and applications in trigonometry.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of an angle in a unit circle?

The angle itself

The y-coordinate of the point

The hypotenuse of the triangle

The x-coordinate of the point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct expression for tangent in terms of sine and cosine?

Tangent = sine / cosine

Tangent = sine + cosine

Tangent = cosine / sine

Tangent = sine * cosine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of sine?

Tangent

Cotangent

Cosecant

Secant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is represented by the equation: cosine squared plus sine squared equals one?

Even-Odd Identity

Quotient Identity

Reciprocal Identity

Pythagorean Identity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to an identity if you perform the same operation on both sides?

It loses its identity

It becomes invalid

It becomes a new identity

It changes form but remains valid

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is considered even?

Sine

Cotangent

Cosine

Tangent

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of sine of negative x?

Negative sine of x

Sine of x

Negative cosine of x

Cosine of x

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