Question

1)3sinП/2+4соs2П/3+5sin13П/6​

Answer 1

3sinП/2+4соs2П/3+5sin13П/6 = 3×1+4×(-1/2)+5×1/2 = 3-2+2,5 = 3,5

Answer 2

Let's simplify the given trigonometric expression step by step:

1. sin(π/2) = 1
2. cos(2π/3) = -1/2
3. sin(13π/6) = sin(π/6) = 1/2

Now, plug these values back into the original expression:

3sin(π/2) + 4cos(2π/3) + 5sin(13π/6)

= 3(1) + 4(-1/2) + 5(1/2)

= 3 - 2 + 5/2

Now, add the constants:

= 1 - 2 + 5/2

Now, simplify further:

= -1 + 5/2

To add these fractions, you need a common denominator, which is 2:

= (-2/2) + (5/2)

Now, add the fractions:

= (-2 + 5)/2

= 3/2

So, the simplified value of the expression is 3/2.