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139 problems
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1
Linear Formula: Which Statements Must Be True? πIBEW practice #15: Use a linear formula and an input restriction to identify every statement that must be true.
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NJATC/ETA Testπ
Hard2Double-Angle Tangent in Quadrant II πIf sin β‘ ΞΈ = 3 5 and ΞΈ lies in Quadrant II, what is tan β‘ ( 2 ΞΈ ) ?
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Hard3Count Solutions of a Trig Equation πFor 0 β€ x < 2 Ο , how many solutions satisfy 2 cos β‘ 2 x β 3 sin β‘ x = 0 ?
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Hard4Law of Cosines Exact Side πIn β³ A B C , a = 8 , b = 11 , and β C = 60 β . What is the exact value of c ?
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Medium5Sine from Tangent in Quadrant III πIf tan β‘ ΞΈ = 5 12 and ΞΈ is in Quadrant III, what is sin β‘ ΞΈ ?
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Medium6Double-Angle Sine from Cosine πIf cos β‘ ΞΈ = β 12 13 and ΞΈ is in Quadrant II, what is sin β‘ ( 2 ΞΈ ) ?
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Hard7Cosine from a Quadrant IV Sine πIf sin β‘ ΞΈ = β 3 2 and ΞΈ is in Quadrant IV, what is cos β‘ ΞΈ ?
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Easy8Sum of Special-Angle Values πWhat is sin β‘ 150 β + cos β‘ 60 β ?
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Easy9Tangent at a Coterminal Angle πWhat is tan β‘ 225 β ?
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Easy10Recover Tangent from Secant πIf sec β‘ ΞΈ = β 5 4 and ΞΈ lies in Quadrant III, what is tan β‘ ΞΈ ?
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Medium11Simplify with the Pythagorean Identity πFor values where it is defined, simplify 1 β cos β‘ 2 x sin β‘ x .
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Medium12Simplify a Secant-Tangent Expression πFor values where it is defined, simplify sec β‘ 2 x β 1 tan β‘ x .
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Medium13Count Solutions of Cosine Double Angle πFor 0 β€ x < 2 Ο , how many solutions satisfy cos β‘ ( 2 x ) = 0 ?
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Hard14Solve a Double-Angle Sine Equation πFor 0 β€ x < 2 Ο , how many solutions satisfy 2 sin β‘ x cos β‘ x = 1 ?
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Hard15Count Tangent Equation Solutions πFor 0 β€ x < 2 Ο , how many solutions satisfy tan β‘ x = β 1 ?
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