Math, asked by dhan19, 1 year ago

if sin is equal 3 by 4 calculate cos and tan

Answers

Answered by yajat1810
1
if sin angle = 3/4
p/b = 3/4
if let p = 3 and b = 4 then hypotenuse = 5cm
so cos angle = 4/5 & tan angle = 3/4
hope it helped you a lot
please mark it as the brainliest answer
Answered by Disha976
6

Given that,

  •  \rm { sin  = \dfrac{3}{4} }

We have to find,

  •  \rm { cos  \: and \: tan  }

Solution,

Here, we know that

  •  \rm { sin  =\dfrac{ 3}{4} = \dfrac{ Perpendicular}{Hypotenuse} }

Hence,

  •  \rm { Perpendicular = 3}
  •  \rm { Hypotenuse = 4}

_____________

Applying pythagoras property-

 \rm\red { {H}^{2} = {B}^{2} + {P}^{2} }

 \rm { \leadsto {B}^{2} = {H}^{2} - {P}^{2} }

 \rm { \leadsto {B}^{2} = {4}^{2} - {3}^{2} }

 \rm { \leadsto {B}^{2} = 16 - 9 = 7}

 \rm\blue { \leadsto B = \sqrt{7} }

________________

  •  \rm { Hypotenuse = 4 }
  •  \rm { Base =  \sqrt{7}  }
  •  \rm { Perpendicular = 3 }

 \leadsto \rm\red{ cos  = \dfrac{ Base}{ Hypotenuse} = \dfrac{ \sqrt{7} }{4} }

 \:

 \leadsto \rm\red{ tan  = \dfrac{ Perpendicular}{ Base} =  \dfrac{ 3 }{\sqrt{7}} }

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