What is the value of sin(pi/4)-4cos(pi/3) ?

The value of sin(pi/4)-4cos(pi/3) is (sqrt(2))/2-2

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sin(pi/4)-4cos(pi/3)

sin (\frac{π}{4}) - 4 cos (\frac{π}{3})

\frac{2}{2} - 2

Solution steps

sin (\frac{π}{4}) - 4 cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= \frac{2}{2} - 4 \cdot \frac{1}{2}

Simplify

\frac{2}{2} - 4 \cdot \frac{1}{2} : \frac{2}{2} - 2

= \frac{2}{2} - 2

tan (- 66 0^{\circ})

30 \cdot csc (4 5^{\circ})

sin (2 \frac{1}{3})

cos (7 0^{\circ}) 10

3.5 \cdot cos (3.5 \cdot 2.4 - 0.8)

What is the value of sin(pi/4)-4cos(pi/3) ?
The value of sin(pi/4)-4cos(pi/3) is (sqrt(2))/2-2