Asked by don
find the exact values of the six trig functions of theta equals six pi divided by 8
Answers
Answered by
Reiny
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
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
There are no AI answers yet. The ability to request AI answers is coming soon!