What is the value of sin(7/12 pi)-cos(pi/(12)) ?

The value of sin(7/12 pi)-cos(pi/(12)) is 0

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sin(7/12 pi)-cos(pi/(12))

sin (\frac{7}{12} π) - cos (\frac{π}{12})

0

Solution steps

sin (\frac{7}{12} π) - cos (\frac{π}{12})

Rewrite using trig identities:

sin (\frac{7}{12} π) = \frac{2 ( 3 + 1 )}{4}

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

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

Simplify

\frac{2 ( 3 + 1 )}{4} - \frac{6 + 2}{4} : 0

= 0

cos (41.4 1^{\circ})

arcsin (\frac{1}{1195})

arctan (\frac{15}{40})

cos^{2} (3 5^{\circ}) - sin^{2} (3 5^{\circ})

\frac{cos ( \frac{π}{4} )}{sin ^{2} ( \frac{π}{4} )}

What is the value of sin(7/12 pi)-cos(pi/(12)) ?
The value of sin(7/12 pi)-cos(pi/(12)) is 0