What is the value of 60cos(45)-70sin(60)-50sin(45) ?

The value of 60cos(45)-70sin(60)-50sin(45) is 5sqrt(2)-35sqrt(3)

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60cos(45)-70sin(60)-50sin(45)

60 cos (4 5^{\circ}) - 70 sin (6 0^{\circ}) - 50 sin (4 5^{\circ})

52 - 353

Solution steps

60 cos (4 5^{\circ}) - 70 sin (6 0^{\circ}) - 50 sin (4 5^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

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

= 60 \cdot \frac{2}{2} - 70 \cdot \frac{3}{2} - 50 \cdot \frac{2}{2}

Simplify

60 \cdot \frac{2}{2} - 70 \cdot \frac{3}{2} - 50 \cdot \frac{2}{2} : 52 - 353

= 52 - 353

tan^{2} (6 0^{\circ}) - 3 cot^{2} (6 0^{\circ})

20 \cdot sin (2 5^{\circ})

5.9 tan (5 9^{\circ})

- \frac{cos ( - 2 + 2 )}{2}

\frac{1}{sinh ( 0 )}

What is the value of 60cos(45)-70sin(60)-50sin(45) ?
The value of 60cos(45)-70sin(60)-50sin(45) is 5sqrt(2)-35sqrt(3)