Question

7 cos 30° + 5 tan 30° + 6 cot 60° is​

Answer 1

Answer:

7×√3/2+5×1/√3+6×1/√3

=43/(2√3)

Answer 2

SOLUTION

TO DETERMINE

The value of 7 cos 30° + 5 tan 30° + 6 cot 60°

EVALUATION

Here the given expression is

7 cos 30° + 5 tan 30° + 6 cot 60°

We simplify it as below

7 cos 30° + 5 tan 30° + 6 cot 60°

$\displaystyle \sf = 7 \times \frac{ \sqrt{3} }{2} + 5 \times \frac{1}{ \sqrt{3} } + 6 \times \frac{1}{ \sqrt{3} }$

$\displaystyle \sf = \frac{7 \sqrt{3} }{2} + \frac{5}{ \sqrt{3} } + \frac{6}{ \sqrt{3} }$

$\displaystyle \sf = \frac{7 \sqrt{3} }{2} + \frac{5 + 6}{ \sqrt{3} }$

$\displaystyle \sf = \frac{21 }{2 \sqrt{3} } + \frac{11}{ \sqrt{3} }$

$\displaystyle \sf = \frac{21 + 22 }{2 \sqrt{3} }$

$\displaystyle \sf = \frac{43 }{2 \sqrt{3} }$

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