What is the value of \sin 30^\circ - \sqrt2 \cos 30^\circ ?

SSC CGL Model Paper 2

Question : 69 of 100

Marks: +1, -0

What is the value of

\sin 30° - √2 \cos 30° \ ?

Solution:

\sin 30° - √2 \cos 30°

=1/2-√2×√3/2

=1/2-√3/√2={√2-2√3}/{2√2}

={√2(1-√6)}/{2√2}= {1-√6}/2

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