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Using the the half angle formula for sine to evaluate

Using the the half angle formula for sine to evaluate

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explores breaking down trigonometric expressions using sum, difference, and half-angle formulas. It focuses on applying the half-angle formula to evaluate the sine of 95 degrees, determining the reference angle, and understanding the sign based on the quadrant. The tutorial also covers calculating the cosine of 30 degrees and simplifying the resulting expression.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method mentioned for breaking up trigonometric expressions?

Using double angle formulas

Using sum or difference formulas

Using product-to-sum formulas

Using Pythagorean identities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If U/2 equals 195 degrees, what is the value of U?

390 degrees

195 degrees

180 degrees

360 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle 195 degrees located?

Second quadrant

First quadrant

Third quadrant

Fourth quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 30 degrees?

1/2

sqrt(3)/2

sqrt(2)/2

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression after removing the denominator?

sqrt(2) + sqrt(3)

-(sqrt(3) + sqrt(2))/2

sqrt(3) - sqrt(2)

-(sqrt(2) - sqrt(3))/2

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