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

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

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sin(45)-sin(30)

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

\frac{2 - 1}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= \frac{2 - 1}{2}

160 cos (20 0^{\circ})

cot (\frac{π}{4}) - \frac{π}{4} csc^{2} (\frac{π}{4})

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

\frac{5}{cos ( 6 5 ^{\circ} )}

tan (1.33)

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