What is the value of 2sin(1.1pi)+3cos(1.1pi) ?

The value of 2sin(1.1pi)+3cos(1.1pi) is -(sqrt(2)(2sqrt(3-\sqrt{5)}+3sqrt(5+\sqrt{5)}))/4

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2sin(1.1pi)+3cos(1.1pi)

2 sin (1.1 π) + 3 cos (1.1 π)

- \frac{2 ( 2 3 - 5 + 3 5 + 5 )}{4}

Solution steps

2 sin (1.1 π) + 3 cos (1.1 π)

= 2 sin (\frac{11}{10} π) + 3 cos (\frac{11}{10} π)

Simplify:

\frac{11}{10} π = \frac{11 π}{10}

= 2 sin (\frac{11 π}{10}) + 3 cos (\frac{11 π}{10})

Rewrite using trig identities:

sin (\frac{11 π}{10}) = - \frac{2 3 - 5}{4}

Rewrite using trig identities:

cos (\frac{11 π}{10}) = - \frac{2 5 + 5}{4}

= 2 (- \frac{2 3 - 5}{4}) + 3 (- \frac{2 5 + 5}{4})

Simplify

2 (- \frac{2 3 - 5}{4}) + 3 (- \frac{2 5 + 5}{4}) : - \frac{2 ( 2 3 - 5 + 3 5 + 5 )}{4}

= - \frac{2 ( 2 3 - 5 + 3 5 + 5 )}{4}

sinh (1.275)

22 cos (3 0^{\circ})

arctan (\frac{20}{25})

sec (69 0^{\circ})

csc (arctan (\frac{3}{4}))

What is the value of 2sin(1.1pi)+3cos(1.1pi) ?
The value of 2sin(1.1pi)+3cos(1.1pi) is -(sqrt(2)(2sqrt(3-\sqrt{5)}+3sqrt(5+\sqrt{5)}))/4