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28 February, 20:49

Write an expression using all six trigonometric functions such that the value of the expression is 3.

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  1. 28 February, 20:51
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    The trig functions that you need to deal with are Sine Cosine Tangent Cotangent Cosecant Secant You need to write a single expression using all six trig functions such that the value of the expression equals 3. To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0 sin (30º) = 1/2 sin (90º) = 1 cos (0º) = 1 cos (60º) = 1/2 tan (45º) = 1 csc (30º) = 2 csc (90º) = 1 sec (0º) = 1 sec (60º) = 2 cot (45º) = 1 If we only had to use three trig functions (sin, cos, tan), one possibility is tan (45º) + cos (0º) / sin (30º) = 1 + 1 / (1/2) = 1 + 2 = 3 noticed how I chose one each of the required functions and the operations so that the result = 3. Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from.
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