SOLUTION: Let θ be an angle in quadrant IV such that sinθ =−5/8 . Find the exact values of secθ and cotθ.

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Question 1094889: Let θ be an angle in quadrant IV such that sinθ =−5/8
.
Find the exact values of secθ and cotθ.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a right triangle in quadrant IV,

Since the sine is opposite/hypotenuse, label the opposite
side as the numerator of -5%2F8, which is -5, and
the hypotenuse as +8. Then use the Pythagorean theorem
to find the length of the adjacent side sqrt%2839%29.



sec%28theta%29=hypotenuse%2Fadjacent+=+8%2Fsqrt%2839%29=8sqrt%2839%29%2F39

cot%28theta%29=adjacent%2Fopposite=-5%2Fsqrt%2839%29=-5sqrt%2839%29%2F39

Edwin