Solve cos(295^circ)*sin(70^circ)-sin(115^circ)*cos(110^circ)

$$\cos ( 295 ^ { \circ } ) \times \sin ( 70 ^ { \circ } ) - \sin ( 115 ^ { \circ } ) \times \cos ( 110 ^ { \circ } )$$

Evaluate

$$0.70710678118654762543559292130168$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.4226182617406996 \cdot 0.9396926207859083 - 0.90630778703665 \cdot -0.3420201433256687$$

Multiply 0.4226182617406996 and 0.9396926207859083 to get 0.39713126196710296739054026344668.

$$0.39713126196710296739054026344668-0.90630778703665\left(-0.3420201433256687\right)$$

Multiply 0.90630778703665 and -0.3420201433256687 to get -0.309975519219444658045052657855.

$$0.39713126196710296739054026344668-\left(-0.309975519219444658045052657855\right)$$

The opposite of -0.309975519219444658045052657855 is 0.309975519219444658045052657855.

$$0.39713126196710296739054026344668+0.309975519219444658045052657855$$

Add 0.39713126196710296739054026344668 and 0.309975519219444658045052657855 to get 0.70710678118654762543559292130168.

$$0.70710678118654762543559292130168$$

Factor

$$\frac{89 \cdot 251 \cdot 223547 \cdot 731533399 \cdot 7053978991 \cdot 7 ^ {3}}{2 ^ {29} \cdot 5 ^ {32}} = 0.7071067811865477$$