Math, asked by sahilborse, 1 year ago

if cos 43° = x/√x²+y² where x, y > 0, then the value of tan 47°= ?​

Answers

Answered by rishu6845
42

Answer:

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Answered by VaibhavSR
2

Answer: tan 47°=\frac{x}{y}.

Step-by-step explanation:

Given:- cos 43° = \frac{x}{\sqrt{x^{2} +y^{2}  }  }

To find:- tan 47°= ?​

Concept:- Using a right angle triangle, we know cos is calculated by dividing base with hypotenuse. We calculate the perpendicular of the triangle.

Then one of the angle will be 47°.

Solution:-

Perpendicular=\sqrt{(\sqrt{x^{2} +y^{2} })^{2} -x^{2}  }

                       = \sqrt{y^{2} }

                       = y.

The angle opposite to 43° will be 47°.

So, tan 47°=\frac{x}{y}.

  • Hence, the required answer is \frac{x}{y}.

#SPJ3

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