What is the value of sin(pi/(42))cos(pi/7)+cos(pi/(42))sin(pi/7) ?

The value of sin(pi/(42))cos(pi/7)+cos(pi/(42))sin(pi/7) is 1/2

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sin(pi/(42))cos(pi/7)+cos(pi/(42))sin(pi/7)

sin (\frac{π}{42}) cos (\frac{π}{7}) + cos (\frac{π}{42}) sin (\frac{π}{7})

\frac{1}{2}

Solution steps

sin (\frac{π}{42}) cos (\frac{π}{7}) + cos (\frac{π}{42}) sin (\frac{π}{7})

Rewrite using trig identities:

sin (\frac{π}{6})

= sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= \frac{1}{2}

- 3 sin (2 π)

cos^{2} (- π)

cos (\frac{11 π}{9})

cos (\frac{240}{2})

arcsin (\frac{2}{2})

What is the value of sin(pi/(42))cos(pi/7)+cos(pi/(42))sin(pi/7) ?
The value of sin(pi/(42))cos(pi/7)+cos(pi/(42))sin(pi/7) is 1/2