Math, asked by archanapushpad, 10 months ago

if sin 43 degree equals to M find the value of tan 47​

Answers

Answered by venupillai
5

Answer:

tan 47 = \sqrt{(1-M^{2}) }/M

Step-by-step explanation:

We know that sin(A) = cos(90-A)

=> sin(43) = cos(47)                  [90 - 43 = 47]

=> cos(47) = M                          [Given: sin(43) = M]

Now: sin^2(A) + cos^2(A) = 1

=> sin^2(47) + cos^2(47) = 1

=> sin^2(47) + M^2 = 1

=> sin^2(47) = 1 - M^2

=> sin(47) = \sqrt{(1-M^{2}) }

Now:

tan A = sin A / cos A

=> tan(47) = sin(47)/cos(47)

=> tan(47) = \sqrt{(1-M^{2}) }/M

Answered by dorgan399
3

Answer:

Step-by-step explanation:

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