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What will be the value of $4 tan 45 ° + 3 cot 60 ° + 3 sin 2 60 ° + tan 30 ° cot 45 °$ ?

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293 + 4 43

293 + 2 3

293 + 1 2

273 + 1 2

answer is A.

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Detailed Solution

Given that,

= 4 tan 45 ° + 3 cot 60 ° + 3 sin 2 60 ° + tan 30 ° cot 45 °

We know that,

tan 45 ° = 1 cot 60 ° = 13 sin 60 ° = 32 tan 30 ° = 13 cot 45 ° = 1

Then,

= 41 + 313 + 3322 + 131

= 4 + 1 + 94 + 13

= 163 + 43 + 93 + 4 43 = 293 + 4 43

Thus the value will be

293 + 4 43

.
Therefore the correct option is 1.

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