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Trigonometry - 35 Essential Concepts

Master trigonometry with 35 flashcards covering the unit circle, identities, equations, and graphing techniques.

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Front

What is the value of $\sin(\pi/6)$?

Back

1/2 Corresponds to the y-coordinate at 30 degrees on the unit circle.

Front

What is the value of $\cos(\pi/3)$?

Back

1/2 Corresponds to the x-coordinate at 60 degrees on the unit circle.

Front

What is the value of $\tan(\pi/4)$?

Back

1 Since $\sin(\pi/4) = \cos(\pi/4)$, the ratio $\sin/\cos$ equals 1.

Front

What is the value of $\sin(\pi/2)$?

Back

1 The highest point on the unit circle (0, 1).

Front

What is the value of $\cos(\pi)$?

Back

-1 The leftmost point on the unit circle (-1, 0).

Front

What is the value of $\sin(3\pi/2)$?

Back

-1 The lowest point on the unit circle (0, -1).

Front

What is the value of $\cos(2\pi/3)$?

Back

-1/2 Located in Quadrant II where cosine is negative.

Front

What is the value of $\tan(5\pi/6)$?

Back

-\sqrt{3}/3 Calculated as $(1/2) / (-\sqrt{3}/2)$ in Quadrant II.

Front

What is the value of $\sin(7\pi/4)$?

Back

-\sqrt{2}/2 Located in Quadrant IV where sine is negative.

Front

What is the value of $\cos(11\pi/6)$?

Back

\sqrt{3}/2 Located in Quadrant IV where cosine is positive.

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