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If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.

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โˆ™ 2016-01-04 21:52:07
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โˆ™ 2015-07-03 17:16:42

It is -0.5*sqrt(5) = -1.1180 approx.

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Q: What is sec theta if tan theta equals 2 with theta in quadrant 3?
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