If cos x + sin x = 0, then what is the value of x?
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Answered by
41
Answer:
x = -sinx/cos
Step-by-step explanation:
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Answered by
1
Answer:
sinx + cosx=0,
By squaring on both sides
»(Sinx+cosx)²=0
»sin²x+cos²x+2sinxcosx=0,
because 2sinxcosx=sin2x & sin²x+cos²x=1
»1+sin2x=0
»sin2x=-1, because sin-π/2=-1
»sin2x=sin-π/2
Therefore, 2x=-π/2, x=-π/4
Step-by-step explanation:
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