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Popular >

sin((2pi)/3)-cos(pi/(12))+tan((5pi)/4)

Solution

sin (\frac{2 π}{3}) - cos (\frac{π}{12}) + tan (\frac{5 π}{4})

Solution

\frac{3}{2} - \frac{6 + 2}{4} + 1

+1

Solution steps

sin (\frac{2 π}{3}) - cos (\frac{π}{12}) + tan (\frac{5 π}{4})

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

Rewrite using trig identities:

tan (\frac{5 π}{4}) = 1

= \frac{3}{2} - \frac{6 + 2}{4} + 1

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cos((3pi)/4)+i*sin((3pi)/4)

cos (\frac{3 π}{4}) + i \cdot sin (\frac{3 π}{4})

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4+(3sqrt(2))/2 cos((3pi)/4)

4 + \frac{3 2}{2} cos (\frac{3 π}{4})

Frequently Asked Questions (FAQ)

What is the value of sin((2pi)/3)-cos(pi/(12))+tan((5pi)/4) ?
The value of sin((2pi)/3)-cos(pi/(12))+tan((5pi)/4) is (sqrt(3))/2-(sqrt(6)+sqrt(2))/4+1