SOLUTION: the question is: Find the exact value of the remaining trigonometric functions if: tan theta= 1/3 180 degrees < theta < 270 degress I need to find sin, cos, cot, sec, csc

Algebra ->  Trigonometry-basics -> SOLUTION: the question is: Find the exact value of the remaining trigonometric functions if: tan theta= 1/3 180 degrees < theta < 270 degress I need to find sin, cos, cot, sec, csc      Log On


   

Question 797740: the question is: Find the exact value of the remaining trigonometric functions if:
tan theta= 1/3 180 degrees < theta < 270 degress
I need to find sin, cos, cot, sec, csc
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are telling you that the angle is in the 3rd quadrant
so what you have is +tan%28+theta+%29+=+%28-1%29%2F%28-3%29+
+sqrt%28+%28-1%29%5E2+%2B+%28-3%29%5E2+%29+=+sqrt%28+10+%29+
---------------
+sin+%28+theta+%29+=+%28-1%29+%2F+sqrt%2810%29+
+cos%28+theta+%29+=+%28-3%29+%2F+sqrt%2810%29+
+cot%28+theta+%29+=+%28-3%29+%2F+%28-1%29+
You can finish this

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




and





Hence:













But



Hence



Since we know



and





And you can finish up for yourself because cotangent is the reciprocal of tangent, secant is the reciprocal of cosine, and cosecant is the reciprocal of sine.

John

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