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Question
Find the value of the following expression:
sin2 30° + cos2 60°
Sum
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Solution
Given: sin2 30° + cos2 60°
Step-wise calculation:
1. `sin 30^circ = 1/2`.
2. `sin^2 30^circ = (1/2)^2`
= `1/4`
3. `cos 60^circ = 1/2`.
4. `cos^2 60^circ = (1/2)^2`
= `1/4`
5. `sin^2 30^circ + cos^2 60^circ = 1/4 + 1/4`
= `1/2`
The value of the expression is `1/2`.
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