Solve C=cos(3*180^circ/10)-cos(7*180^circ/10)+sin(180^circ/5)+sin(4*180^circ/5)

$$C = \cos ( \frac{ 3 \times 180 ^ { \circ } }{ 10 } ) - \cos ( \frac{ 7 \times 180 ^ { \circ } }{ 10 } ) + \sin ( \frac{ 180 ^ { \circ } }{ 5 } ) + \sin ( \frac{ 4 \times 180 ^ { \circ } }{ 5 } )$$

Solve for C

$$C=2.3511410091698924$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$C = 0.5877852522924731 - -0.587785252292473 + 0.5877852522924731 + 0.5877852522924732$$

The opposite of -0.587785252292473 is 0.587785252292473.

$$C=0.5877852522924731+0.587785252292473+0.5877852522924731+0.5877852522924732$$

Add 0.5877852522924731 and 0.587785252292473 to get 1.1755705045849461.

$$C=1.1755705045849461+0.5877852522924731+0.5877852522924732$$

Add 1.1755705045849461 and 0.5877852522924731 to get 1.7633557568774192.

$$C=1.7633557568774192+0.5877852522924732$$

Add 1.7633557568774192 and 0.5877852522924732 to get 2.3511410091698924.

$$C=2.3511410091698924$$

Assign C

$$C≔2.3511410091698924$$