Math, asked by zeppelin, 1 month ago

If cos x + sin x = 0, then what is the value of x?

(Please provide hand-written answer if possible, and with step-by-step explanation)

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Answers

Answered by manaschauhan26
41

Answer:

x = -sinx/cos

Step-by-step explanation:

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Answered by Irobuster143
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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