What is the value of sin 150 sin 750?
Answer
Correct Answer : b ) 0.25
Explanation :Consider the given expression
⇒ sin 150 sin 750
Multiply and divide the above expression by sin 450
⇒\({sin15^0\ sin45^0 \ sin75^0 }\over sin45^0\)
We know that,
sin Ɵ sin (60 – Ɵ) sin (60 + Ɵ) =\(1 \over 4\)sin3Ɵ
Now,
⇒\({1 \over sin45^0}×{1 \over 4}×sin\ 3×15^0\)
⇒\({1\over 4}{sin\ 45^0 \over sin\ 45^0}={1 \over 4}=0.25\)
Hence, (b) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.
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