Posted by **don** on Monday, October 17, 2011 at 9:01pm.

find the exact values of the six trig functions of theta equals six pi divided by 8

- trig -
**Reiny**, Monday, October 17, 2011 at 9:06pm
6π/8 radians = 135°

135° is in quadrant II

The reference angle of 135° is 45°

45° is found in the 1-1-√2 right-angled triangle

In quadrant II , the sine and cosecant are positive

so

sin (6π/8) = 1/√2 , csc (6π/8) = √2

cos (6π/8) = -1/√2 , sec (6π/8) = -√2

tan (6π/8) = -1 , cot (6π/8) =-1

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