the value of cos(pi/2)+sin(pi/6)+cos(pi/3)+cos(2pi/3)=
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Answer:
1/2
Step-by-step explanation:
cos π/2 + sin π/6 + cos π/3 + cos 2π/3
First let's take cos 2π/3
cos 2π/3 = cos ( π - π/3 ) = - cos π/3
Now coming back to the expression
cos π/2 + sin π/6 + cos π/3 - cos π/3
= cos π/2 + sin π/6
We know that
- cos π/2 = 0
- sin π/6 = 1/2
= 0 + 1/2
= 1/2
Therefore the value of the given expression is 1/2.
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