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Trigonometric Function Values of an Acute Angle θ |
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Let θ be an acute angle of a right triangle. Then the six trigonometric functions of θ are as follows: sinθ = opp./hyp. cscθ = hyp/opp cosθ = adj/hyp secθ = hyp/adj tanθ = opp/adj cotθ = adj/opp |
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side opposite θ hypotenuse |
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side adjacent θ hypotenuse |
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side opposite θ side adjacent θ |
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hypotenuse side opposite θ |
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hypotenuse side adjacent θ |
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side adjacent θ side opposite θ |
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cscθ = 1/sinθ, secθ = 1/cosθ, cotθ = 1/tanθ
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Triangle are said to be similar if their corresponding angles have the same measure. In similar triangles, the lengths of corresponding sides are in the same ratio. |
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Historically, the measure of an angle has been expressed in degrees, minutes, and seconds. One minute, denoted 1', is such that 60' = 1˚, or 1' = 1/60 · (1˚). One second, denoted 1'', is such that 60'' = 1', or 1'' = 1/60 · (1').
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Since the widespread use of the scientific calculator, decimal degree form is the preferred notation to express fractional parts of degrees. |
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Two angles are complementary whenever the sum of their measures is 90˚ |
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Cofunction Identities sinθ |
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Cofunction Identities cosθ |
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Cofunction Identities tanθ |
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Cofunction Identities cotθ |
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Cofunction Identities secθ |
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