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Question
Evaluate the following:
sin 30° + cos 45° + tan 180°
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Solution
We know that,
sin 30° = `1/2`, cos 45° = `1/sqrt(2)`, tan 180° = 0
sin 30° + cos 45° + tan 180°
= `1/2 + 1/sqrt(2) + 0`
= `1/2 + 1/(sqrt2) xx sqrt2/sqrt2` ...[Multiply numerator and denominator by `sqrt2`]
= `1/2 + sqrt2/2`
= `(1 + sqrt2)/2`
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