Question

the value of cos(pi/2)+sin(pi/6)+cos(pi/3)+cos(2pi/3)=​

Answer 1

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.