Question

Find the value of:

1 – 2 cos² 60° + sin 30°

Answer 1

Given:

1 – 2 cos² 60° + sin 30°

Step 1: Use standard trigonometric values

`cos 60° = 1/2 → cos^2 60° = (1/2)^2 = 1/4`

Step 2: Substitute the values

= `1 − 2 ⋅ 1/4 + 1/2`

= `1 − 2/4 + 1/2`

= `1 − 1/2 + 1/2`

= 1