To simplify the expression:
Step 1: Use the trigonometric identities:tan^2(π/4) = 1 and cot^2(π/4) = 1sin(π/6) = 1/2 and cos(π/3) = 1/2
Step 2: Substitute the values into the expression:4(1/2) + 3(1) + 1 + 2(1/2)= 2 + 3 + 1 + 1= 7
Therefore, the simplified expression is 7.
To simplify the expression:
Step 1: Use the trigonometric identities:
tan^2(π/4) = 1 and cot^2(π/4) = 1
sin(π/6) = 1/2 and cos(π/3) = 1/2
Step 2: Substitute the values into the expression:
4(1/2) + 3(1) + 1 + 2(1/2)
= 2 + 3 + 1 + 1
= 7
Therefore, the simplified expression is 7.