What is the value of 371*cos(90-45)+695.1cos(45) ?

The value of 371*cos(90-45)+695.1cos(45) is (10661sqrt(2))/(20)

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371*cos(90-45)+695.1cos(45)

371 \cdot cos (9 0^{\circ} - 4 5^{\circ}) + 695.1 cos (4 5^{\circ})

\frac{10661 2}{20}

Solution steps

371 cos (9 0^{\circ} - 4 5^{\circ}) + 695.1 cos (4 5^{\circ})

= 371 cos (9 0^{\circ} - 4 5^{\circ}) + \frac{6951}{10} cos (4 5^{\circ})

Simplify

= \frac{10661 cos ( 4 5 ^{\circ} )}{10}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

= \frac{10661 \cdot \frac{2}{2}}{10}

Simplify

\frac{10661 \cdot \frac{2}{2}}{10} : \frac{10661 2}{20}

= \frac{10661 2}{20}

sin (5) π^{\circ}

600 cosh (\frac{0}{600})

- 2 sinh (1 - 2)

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

arctan (\frac{2.77}{9.8} + 0.6)

What is the value of 371*cos(90-45)+695.1cos(45) ?
The value of 371*cos(90-45)+695.1cos(45) is (10661sqrt(2))/(20)