Question

1)2cos60°+√3 cos30°=? 2)2sin45°-4cos30°?=?

Answer 1

1)2*0.5+√3*√3/2=1+1.5=2.5
2)2*√2/2-4*√3/2=√2-2√3

Answer 2

Let's calculate the expressions:

1. 2cos(60°) + √3cos(30°)

To calculate this expression, you can use the trigonometric values for these angles:

cos(60°) = 0.5 cos(30°) = √3/2

Now, plug these values into the expression:

2(0.5) + √3(√3/2)

1 + (3/2)

Now, add the fractions:

1 + 1.5 = 2.5

So, the value of 2cos(60°) + √3cos(30°) is 2.5.

2. 2sin(45°) - 4cos(30°)

Again, use the trigonometric values for these angles:

sin(45°) = √2/2 cos(30°) = √3/2

Now, plug these values into the expression:

2(√2/2) - 4(√3/2)

√2 - 2√3

This is the simplified value of 2sin(45°) - 4cos(30°).

So, 2sin(45°) - 4cos(30°) is √2 - 2√3.