What is the value of sin(30)-cos(45) ?

The value of sin(30)-cos(45) is (1-sqrt(2))/2

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sin(30)-cos(45)

sin (3 0^{\circ}) - cos (4 5^{\circ})

\frac{1 - 2}{2}

Solution steps

sin (3 0^{\circ}) - cos (4 5^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cos (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}

\frac{6.47}{sec ( 2 0 ^{\circ} )}

tan (arctan (\frac{1}{3}))

cot (3 0^{\circ}) - sin (4 5^{\circ})

cos (2.2)

sec^{2} (4 0^{\circ})

What is the value of sin(30)-cos(45) ?
The value of sin(30)-cos(45) is (1-sqrt(2))/2