If you know your identities then you can solve

If you know your identities then you can solve

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric equations using identities, focusing on converting cosine squared to sine squared using the Pythagorean identity. It guides through solving the equation and finding solutions on the unit circle, emphasizing the importance of understanding identities and their applications.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when solving trigonometric equations with different functions?

Ignore the different functions.

Combine different functions into one.

Convert all functions to tangent.

Use the quadratic formula.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to relate cosine squared and sine squared?

Double Angle Identity

Reciprocal Identity

Sum and Difference Identity

Pythagorean Identity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can cosine squared be expressed in terms of sine squared?

cos²X = 2sin²X

cos²X = 1 + sin²X

cos²X = sin²X - 1

cos²X = 1 - sin²X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine of X when it equals zero on the unit circle?

π/2 and 3π/2

0 and π

π/4 and 3π/4

π/6 and 5π/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can all solutions for sine of X equal to zero be expressed?

X = π/4 + πN

X = 3π/2 + πN

X = π/2 + 2πN

X = 0 + πN