Question
a) Determine an exper value for the sppression sin(5pi )/(4)=cos(11pi )/(6)cot(pi )/(3)
Solution
4.6
(372 Votes)
Wesley
Master ยท Tutor for 5 years
Answer
###
Explanation
## Step1: Evaluate
### The angle
is in the third quadrant where sine is negative. The reference angle is
. Therefore,
.## Step2: Evaluate
### The angle
is in the fourth quadrant where cosine is positive. The reference angle is
. Therefore,
.## Step3: Evaluate
### The cotangent of an angle is the reciprocal of the tangent.
, so
.## Step4: Combine the results### Substitute the evaluated values into the original expression:
. Simplify the right-hand side:
.