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Andreas93 [3]
3 years ago
7

If sin x equal to a/b what is sin(90-x)​

Mathematics
2 answers:
kupik [55]3 years ago
8 0

Answer:

\sin(x)  =  \frac{a}{b}  \\  \sin(90 - x)  =  \sin(90)  \cos(x)  -  \cos(90)  \sin(x)  \\  \sin(90 - x)  =  \cos(x)  \\  { \sin(x) }^{2}  +  { \cos(x) }^{2}  = 1 \\  { \cos(x) }^{2}  =  1 - {( \frac{a}{b})}^{2}  =  \frac{ {b}^{2}  - {a}^{2}  }{ {b}^{2} }  \\  \cos(x)  =   \frac{ \sqrt{ {b}^{2}  -  {a}^{2} }  }{ \sqrt{ {b}^{2} } } \\  \boxed{ \sin(90 - x)  =\cos(x)   = \frac{ \sqrt{ {b}^{2}  -  {a}^{2} }  }{ b}  } \\

Slav-nsk [51]3 years ago
3 0

Answer:

(a/b √b^2 – a^2}}{b})

Step-by-step explanation:

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