What is $sin (\frac{7 π}{4})$ $sin((7pi)/4)$ ?

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What is $sin (\frac{7 π}{4})$ $sin((7pi)/4)$ ?

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Answer 1 · 2018-05-01T07:01:32

$sin (7 \cdot \frac{π}{4})$ $sin(7*pi/4)$ = $- \frac{\sqrt{2}}{2}$ $-sqrt2/2$

Explanation:

$π$ $pi$ in general equals to 3.142 in radian form or 180 degrees since $2 π$ $2pi$ = 360 degrees.

To solve the eqn, we need to convert the $π$ $pi$ into degrees.

$sin (7 \cdot \frac{π}{4})$ $sin(7*pi/4)$ = $sin (7 \cdot \frac{180}{4})$ $sin(7*180/4)$
$sin (7 \cdot \frac{180}{4})$ $sin(7*180/4)$ = $sin (\frac{1260}{4})$ $sin(1260/4)$
$sin (\frac{1260}{4})$ $sin(1260/4)$ = $sin (315)$ $sin(315)$
∴ $sin (315)$ $sin(315)$ = $- \frac{\sqrt{2}}{2}$ $-sqrt 2/2$

Answer 2 · 2018-05-01T07:10:06

$- 0.707$ $-0.707$

Explanation:

$sin (\frac{7 π}{4})$ $sin((7pi)/4)$

radians to degrees:-

$:.(7cancelpi^1)/cancel4^1xxcancel180^45/cancelpi^1=315^@$

$:.sin315^@=-0.707106781$

Answer 3 · 2018-05-01T07:31:37

$rarrsin((7pi)/4)=-1/sqrt2$

Explanation:

$rarrsin((7pi)/4)=sin(2pi-pi/4)=-sin(pi/4)=-1/sqrt2$

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