← Back to Test

Problem 8 - Entrance Test

Evaluate sin² 45° + cos² 30°.

Correct: B

We know the standard trigonometric values: sin 45° = 1/√2 and cos 30° = √3/2. Substitute these values into the expression: (1/√2)² + (√3/2)² = (1/2) + (3/4). To add these fractions, find a common denominator, which is 4. So, (2/4) + (3/4) = 5/4.