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The value of 4sin230° + 3cot260° is:
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& 4{\sin ^2}{30^ \circ } + 3{\cot ^2}{60^ \circ } \cr
& = 4 \times {\left( {\frac{1}{2}} \right)^2} + 3{\left( {\frac{1}{{\sqrt 3 }}} \right)^2} \cr
& = 4 \times \frac{1}{4} + 3 \times \frac{1}{3} \cr
& = 1 + 1 \cr
& = 2 \cr} $$
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