JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The value of

\frac{{\left[ {(\cos 20^\circ + i\sin 20^\circ )\left( {\cos 75^\circ + i\sin 75^\circ } \right)\left( {\cos 10^\circ + i\sin 10^\circ } \right)} \right]}}{{\sin 15^\circ - i\cos 15^\circ }}

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Correct option: B

-1

Option B (-1) is correct because simplifying the expression using Euler's formula and trigonometric identities leads to -1.

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