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

The value of sin(45)-sin(-45) is square root of 2

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sin(45)-sin(-45)

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

2

Solution steps

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

Use the following property:

sin (- x) = - sin (x)

sin (- 4 5^{\circ}) = - sin (4 5^{\circ})

= sin (4 5^{\circ}) - (- sin (4 5^{\circ}))

Simplify

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

Use the following trivial identity:

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

= 2 \cdot \frac{2}{2}

Simplify

2 \cdot \frac{2}{2} : 2

= 2

arccos (\frac{- 18}{26 14})

50 sin (5 0^{\circ})

tan^{2} (5 5^{\circ})

(cos (27 0^{\circ}))^{s i n (9 0^{\circ})}

sin (π + \frac{π}{6})

What is the value of sin(45)-sin(-45) ?
The value of sin(45)-sin(-45) is square root of 2