What is the value of sin(pi/4)-sin(-pi/4) ?

The value of sin(pi/4)-sin(-pi/4) is square root of 2

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sin(pi/4)-sin(-pi/4)

sin (\frac{π}{4}) - sin (- \frac{π}{4})

2

Solution steps

sin (\frac{π}{4}) - sin (- \frac{π}{4})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{π}{4}) = - sin (\frac{π}{4})

= sin (\frac{π}{4}) - (- sin (\frac{π}{4}))

Simplify

= 2 sin (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

Simplify

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

= 2

arctan (e^{3})

csc (\frac{2 π}{9})

\frac{30}{tan ( 2 5 ^{\circ} )}

sin (- 49 5^{\circ})

cos (1 0^{\circ}) sin (9 2^{\circ})

What is the value of sin(pi/4)-sin(-pi/4) ?
The value of sin(pi/4)-sin(-pi/4) is square root of 2