What is the value of 1/2 (7)(10)(cos(pi/4))(-pi/(45)) ?

The value of 1/2 (7)(10)(cos(pi/4))(-pi/(45)) is -(7sqrt(2)pi)/(18)

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1/2 (7)(10)(cos(pi/4))(-pi/(45))

\frac{1}{2} (7) (10) (cos (\frac{π}{4})) (- \frac{π}{45})

- \frac{7 2 π}{18}

Solution steps

\frac{1}{2} (7) (10) (cos (\frac{π}{4})) (- \frac{π}{45})

= \frac{1}{2} \cdot 7 \cdot 10 cos (\frac{π}{4}) (- \frac{π}{45})

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= \frac{1}{2} \cdot 7 \cdot 10 \cdot \frac{2}{2} (- \frac{π}{45})

Simplify

\frac{1}{2} \cdot 7 \cdot 10 \cdot \frac{2}{2} (- \frac{π}{45}) : - \frac{7 2 π}{18}

= - \frac{7 2 π}{18}

3 \cdot cot (\frac{45}{2}) \cdot cot (\frac{75}{2}) \cdot cot (\frac{60}{2})

\frac{sin ( 30 0 ^{\circ} ) + cos ( 15 0 ^{\circ} )}{tan ( 12 0 ^{\circ} ) + cot ( 24 0 ^{\circ} )}

sin (\frac{π}{4}) cos (\frac{π}{3}) - cos (\frac{π}{4}) sin (\frac{π}{3})

4983 \cdot cos (4 0^{\circ})

\frac{sin ( tan ( 12.4 \cdot 0 ) )}{6.2 \cdot 0}

What is the value of 1/2 (7)(10)(cos(pi/4))(-pi/(45)) ?
The value of 1/2 (7)(10)(cos(pi/4))(-pi/(45)) is -(7sqrt(2)pi)/(18)