What is the value of cos(60)-sin(45) ?

The value of cos(60)-sin(45) is (1-sqrt(2))/2

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cos(60)-sin(45)

cos (6 0^{\circ}) - sin (4 5^{\circ})

\frac{1 - 2}{2}

Solution steps

cos (6 0^{\circ}) - sin (4 5^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= \frac{1 - 2}{2}

cos (0.08)

5 \cdot cos (2 0^{\circ})

arccos (0.900405)

arccos (cos (\frac{8 π}{5}))

sin (\frac{π}{2} + \frac{13 π}{12})

What is the value of cos(60)-sin(45) ?
The value of cos(60)-sin(45) is (1-sqrt(2))/2