What is the value of 5sin(45)+2tan(30)-4/3 cos(60) ?

The value of 5sin(45)+2tan(30)-4/3 cos(60) is (15sqrt(2)-4+4sqrt(3))/6

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5sin(45)+2tan(30)-4/3 cos(60)

5 sin (4 5^{\circ}) + 2 tan (3 0^{\circ}) - \frac{4}{3} cos (6 0^{\circ})

\frac{15 2 - 4 + 4 3}{6}

Solution steps

5 sin (4 5^{\circ}) + 2 tan (3 0^{\circ}) - \frac{4}{3} cos (6 0^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

= 5 \cdot \frac{2}{2} + 2 \cdot \frac{3}{3} - \frac{4}{3} \cdot \frac{1}{2}

Simplify

5 \cdot \frac{2}{2} + 2 \cdot \frac{3}{3} - \frac{4}{3} \cdot \frac{1}{2} : \frac{15 2 - 4 + 4 3}{6}

= \frac{15 2 - 4 + 4 3}{6}

arctan (0.7265)

e^{0} + cos (\frac{π}{4} + \frac{3 π}{4})

tan (5 3^{\circ}) (30)

csc (6 5^{\circ})

2 arccot (e^{c s c (- 2)})

What is the value of 5sin(45)+2tan(30)-4/3 cos(60) ?
The value of 5sin(45)+2tan(30)-4/3 cos(60) is (15sqrt(2)-4+4sqrt(3))/6