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Section 7.1 - Section 7.1 Right Triangle Trigonometry...

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Unformatted text preview: Section 7.1 Right Triangle Trigonometry Definitions A triangle in which one angle is a right angle (90) is called a right triangle. The side opposite the right angle is called the hypotenuse. The remaining two sides are called the legs. An angle is called an acute angle if 0< <90 or equivocally 0< </2. soh cah toa For a right triangle with hypotenuse of length c and a legs of length a and b, where b is the length of the leg opposite side of the angle is b. sin = opp/hyp = b/c cos = adj/hyp = a/c tan = opp/adj = b/a csc = hyp/opp = c/b sec = hyp/adj = c/a csc = adj/opp = a/b Complementary angles Two acute angles whose sum is 90 are called complementary angles. For any right triangle the reaming two angles are complementary, let the two angles be and . Cofunctions If a is the side opposite , and b is opposite then. sin = b/c = cos cos = a/c = sin tan = b/a = cot cot = a/b = tan csc = c/b = sec sec = c/a = csc The function pairs listed above are thus called cofunctions. ...
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