What is the value of 6tan(30)+2sec(45) ?

The value of 6tan(30)+2sec(45) is 2sqrt(3)+2sqrt(2)

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6tan(30)+2sec(45)

6 tan (3 0^{\circ}) + 2 sec (4 5^{\circ})

23 + 22

Solution steps

6 tan (3 0^{\circ}) + 2 sec (4 5^{\circ})

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

Use the following trivial identity:

sec (4 5^{\circ}) = 2

= 6 \cdot \frac{3}{3} + 22

Simplify

6 \cdot \frac{3}{3} + 22 : 23 + 22

= 23 + 22

8 sin (0.3 (19) - 3) + 74

40 sin (3 7^{\circ})

csc (arcsin (\frac{1}{6}) - arccos (\frac{1}{10}))

3 cos (6 0^{\circ})

tan (117 π)

What is the value of 6tan(30)+2sec(45) ?
The value of 6tan(30)+2sec(45) is 2sqrt(3)+2sqrt(2)