Understanding the Sine of 36 Degrees

Understanding the Sine of 36 Degrees

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial approach taken to find the exact value of sine 36 degrees?

Geometric approach

Graphical approach

Algebraic approach

Numerical approach

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the sine of an angle and its supplementary angle?

They are always equal

They are always opposite

They are equal when subtracted from 180 degrees

They are equal when added to 180 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to expand the sine of 180 degrees minus theta?

Product formula for sine

Quotient formula for sine

Sum formula for sine

Difference formula for sine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identities are used to form the equation for solving sine of 36 degrees?

Double and triple angle identities

Half angle identities

Single angle identities

Sum and difference identities

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What substitution is made to simplify the trigonometric equation?

u = tangent of x

u = sine of x

u = cosine of x

u = cotangent of x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of squaring both sides of the equation?

To eliminate the sine term

To eliminate the cosine term

To eliminate the constant term

To eliminate the radical

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to solve the polynomial equation?

Graphical method

Numerical method

Quadratic formula

Factorization

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