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Trigonometric Equations #1

Trigonometric Equations #1

Assessment

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the solution to the equation tan⁡2(x)+2tan⁡(x)=−1\tan^2(x) + 2\tan(x) = -1 ?

Back

The solutions are 3π4,7π4\frac{3\pi}{4}, \frac{7\pi}{4} .

2.

FLASHCARD QUESTION

Front

What is the value of tan⁡π2\tan\frac{\pi}{2} ?

Back

The value is undefined.

3.

FLASHCARD QUESTION

Front

What is cos⁡−1(−32)\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right) ?

Back

The value is 5π6\frac{5\pi}{6} .

4.

FLASHCARD QUESTION

Front

Solve for θ\theta in the equation 2sin⁡θ+3=22\sin\theta + 3 = 2 .

Back

The solutions are θ=7π6,11π6\theta = \frac{7\pi}{6}, \frac{11\pi}{6} .

5.

FLASHCARD QUESTION

Front

What is the value of Arcsin(−1)\text{Arcsin}(-1) ?

Back

The value is −π2-\frac{\pi}{2} .

6.

FLASHCARD QUESTION

Front

Define the tangent function in terms of sine and cosine.

Back

tan⁡(x)=sin⁡(x)cos⁡(x)\tan(x) = \frac{\sin(x)}{\cos(x)} .

7.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

The range is [−1,1][-1, 1] .

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