Math, asked by Dangle1010, 30 days ago

If sin 0 + cos = root 2, find value of sin -cos .

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Answers

Answered by Anonymous
2

Answer:

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  • Force is push or pull acting on a body which tends to change its state of rest or of motion.
  • It is denoted by "F".
Answered by Surajrai8484
1

Answer:

0

Step-by-step explanation:

By squaring we get,

 {( \sin(x) +  \cos(x)) }^{2}  =  { \sqrt{2} }^{2}

 { \sin(x) }^{2}  + 2 \sin(x)  \cos(x)  +  { \cos(x) }^{2}  = 2

1 + 2 \sin(x)  \cos(x)  = 2

 \sin(x)  \cos(x)  =  \frac{1}{2}

Now,

 {( \sin(x) -  \cos(x))  }^{2}  =  { \sin(x) }^{2}   - 2 \sin(x)  \cos(x)  +  { \cos(x) }^{2}

 { (\sin(x) -  \cos(x) ) }^{2}  = 1 - 2 \times  \frac{1}{2}  = 0

so,

 \sin(x)  -  \cos(x)  = 0

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