What is the value of 2+sin(pi/4)-3tan(pi/4) ?

The value of 2+sin(pi/4)-3tan(pi/4) is (sqrt(2))/2-1

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2+sin(pi/4)-3tan(pi/4)

2 + sin (\frac{π}{4}) - 3 tan (\frac{π}{4})

\frac{2}{2} - 1

Solution steps

2 + sin (\frac{π}{4}) - 3 tan (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

tan (\frac{π}{4}) = 1

= 2 + \frac{2}{2} - 3 \cdot 1

Simplify

= \frac{2}{2} - 1

arcsin (sin (\frac{11 π}{9}))

15 sin (5 0^{\circ})

sin (4 \frac{π}{2})

arccos (\frac{2}{9})

\frac{22}{sin ( 5 4 ^{\circ} )}

What is the value of 2+sin(pi/4)-3tan(pi/4) ?
The value of 2+sin(pi/4)-3tan(pi/4) is (sqrt(2))/2-1