What is the value of sin((11pi)/(20))cos(pi/5)+cos((11pi)/(20))sin(pi/5) ?

The value of sin((11pi)/(20))cos(pi/5)+cos((11pi)/(20))sin(pi/5) is (sqrt(2))/2

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sin((11pi)/(20))cos(pi/5)+cos((11pi)/(20))sin(pi/5)

sin (\frac{11 π}{20}) cos (\frac{π}{5}) + cos (\frac{11 π}{20}) sin (\frac{π}{5})

\frac{2}{2}

Solution steps

sin (\frac{11 π}{20}) cos (\frac{π}{5}) + cos (\frac{11 π}{20}) sin (\frac{π}{5})

Rewrite using trig identities:

sin (\frac{3 π}{4})

= sin (\frac{3 π}{4})

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

= \frac{2}{2}

cot (arccos (- \frac{5}{6}))

arcsin (0.549)

tan (0.02)

tan (15 0^{\circ}) sin (31 5^{\circ})

sin (6 0^{\circ}) \cdot cos (3 0^{\circ}) + cos (6 0^{\circ}) \cdot sin (3 0^{\circ})

What is the value of sin((11pi)/(20))cos(pi/5)+cos((11pi)/(20))sin(pi/5) ?
The value of sin((11pi)/(20))cos(pi/5)+cos((11pi)/(20))sin(pi/5) is (sqrt(2))/2