Question

simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. 3 sin2 45° 3 cos2 45°

Answer 1

To simplify 3 sin^2(45°) 3 cos^2(45°), substitute the values from the table of exact values: sin(45°) = cos(45°) = √2/2. Then, square and multiply the values to obtain the simplified expression 9/4.

Step-by-step explanation:

To simplify the expression 3 sin2(45°) 3 cos2(45°), we can substitute the values from the table of exact values. Since sin(45°) = cos(45°) = √2/2, we have:

3 sin2(45°) 3 cos2(45°) = 3 (√2/2)2 3 (√2/2)2 = 3 (2/4) 3 (2/4) = 3/2 * 3/2 = 9/4

So, the simplified expression is 9/4.