Question

Sinx = -Cosx ; then what is the value of x?

Answer 1

Answer:

x=135

Step-by-step explanation:

sinx/cosx=-1

tanx=-1

tanx=tan(135)

x=135

Answer 2

Answer:

$\sin(x) = - \cos(x) \\ \\ \sin(x) + \cos(x) = 0 \\ \\ \sqrt{2} ( \frac{1}{ \sqrt{2} } \sin(x) + \frac{1}{ \sqrt{2} } \cos(x) ) = 0 \\ \\ \sin(x) \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{4} ) \cos(x) = 0 \\ \\ \sin(x + \frac{\pi}{4} ) = 0 \\ \\ x + \frac{\pi}{4} = n\pi \\ \\ x = \frac{\pi}{4} (4n - 1)$