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Trigonometry Review

(16 Questions)
8 viewed last edited 4 years ago
Review of basic trigonometry facts
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Two functions y_1(t) = a_1 \sin( b_1 t) and y_2(t) = a_2 \cos(b_2 t) are shown in the graph. What is true for the constants a_1 \text{ and } a_2 ?
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Identify the period that both functions in the graph share.
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Identify the function in the graph.
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Two functions y_1(t) = a_1 \sin( b_1 t) and y_2(t) = a_2 \cos(b_2 t) are shown in the graph. What is true for the constants b_1 \text{ and } b_2 ?
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What is \sin \theta in the diagram?
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Identify the function in the graph.
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Identify the function shown in the graph.
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What is \cos \left( \tan^{-1} \left( \frac{a}{b} \right) \right) in the diagram?
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Simplify \frac{\sqrt{1 - \cos^2 x}}{\sin x} + \frac{\sqrt{1 - \sin^2 x}}{\cos x} if 0 < x < \frac{\pi}{2} . Enter your answer as a numeral.
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The graph of the trigonometric function f(x) = 2 \cos ( \frac{1}{2} x ) is shown in the diagram. f(x) is:
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What is 330^\circ in radians?
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If \tan \theta = \frac{3}{4} and 0 < \theta < \frac{\pi}{2} , what is \sin \theta ? Enter your answer as a fraction a/b. If you answer is negative enter it as -a/b.
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How long is BC in the diagram?
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Alex props up a ladder against a wall. The ladder makes an angle of 23° from the ground. If the ladder is 10 feet long, what is the expression for finding the distance the foot of the ladder is from the wall?
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If \tan \theta = \frac{3}{4} and 180^\circ < \theta < 270^\circ , what is \cos \theta ? Enter your answer as a fraction: a/b. If your answer is negative enter it as -a/b.
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What is \tan B in the diagram?
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by Mahesh Godavarti