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

The value of tan(pi/4)-cos(pi/3) is 1/2

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

tan (\frac{π}{4}) - cos (\frac{π}{3})

\frac{1}{2}

Solution steps

tan (\frac{π}{4}) - cos (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= 1 - \frac{1}{2}

Simplify

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

= \frac{1}{2}

cos (1.2 π)

sin (4 5^{\circ}) cos (33 0^{\circ}) + sin (15 0^{\circ}) cos (40 5^{\circ}) cot (21 0^{\circ})

sin (19 5^{\circ}) - sin (7 5^{\circ})

40 π [0.6 + (\frac{sin ( 8 π \cdot 0.6 )}{8 π})]

50 cos (2 0^{\circ})

What is the value of tan(pi/4)-cos(pi/3) ?
The value of tan(pi/4)-cos(pi/3) is 1/2