Trigonometric Identities and Solving Trigonometric Equations

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 4 Questions

1/24 Solving Trig Equations and Review

By Nichole Nuckols

Objective

In this lesson, we will:

Solve a Trig equation using squaring the Pythagorean Identities
Review 6.1 and 6.2

Opening Activity

Complete the assigned 1/24 Warm-UP on Google Classroom.

Example 1: Solving Trig Equation (Squaring)

You can't combine like terms and converting to sine and cosine doesn't lead to any useful mathematics. So, we will square both sides and reduce to one trig function using a Pythagorean Identity. There will be extraneous solutions.

Check: Plug the solutions back into the original equation.

Example 2: Solving Trig Equation (Squaring)

Multiple Choice

Solve the equation for $0\le\theta<360$ .

$-3\cos\theta=-\sqrt{3}\sin\theta-2\cos\theta$

{30, 150, 210, 330}

{30, 210}

{30}

{120}

Multiple Choice

Solve the equation for $0\le\theta<360$ .

$-\tan\theta=\sqrt{2}\tan\theta+\sec\theta-\tan\theta$

{45, 135, 225, 315}

{225}

{225, 240}

{225, 315}

Recall: Only One-to-One functions are inversible.

Multiple Choice

Find the exact value of the expression. $\cot^{-1}\left(\cos\pi\right)$

$\frac{\pi}{6}$

$\frac{3\pi}{4}$

$\frac{3\sqrt{55}}{55}$

$\pi$

Multiple Choice

Find the exact value of the expression. $\csc\cos^{-1}\ \frac{7}{12}$

$-\frac{\pi}{2}$

$\frac{\pi}{6}$

$\frac{12\sqrt{95}}{95}$

$\frac{7\sqrt{95}}{95}$

Thank you for your time and participation

No new assignments.

There will be a quiz on 1/26.

1/24 Solving Trig Equations and Review

By Nichole Nuckols

Objective

In this lesson, we will:

Solve a Trig equation using squaring the Pythagorean Identities
Review 6.1 and 6.2

Opening Activity

Complete the assigned 1/24 Warm-UP on Google Classroom.

Show answer

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