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Question
`sqrt3 sin15^circ + cos15^circ` = ______
Options
`sqrt2`
`1/sqrt2`
`sqrt3`
`1/sqrt3`
MCQ
Fill in the Blanks
Solution
`sqrt3 sin15^circ + cos15^circ` = `underline(sqrt2)`
Explanation:
`sqrt3 sin15^circ + cos15^circ = sqrt3((sqrt3 - 1)/(2sqrt2)) + (sqrt3 + 1)/(2sqrt2)`
= `(3 - sqrt3 + sqrt3 + 1)/(2sqrt2) = sqrt2`
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Trigonometric Functions of Sum and Difference of Angles
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