How tan 45 equal to 1
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ok, the tangent of 45 degrees is equal to one because of the sides of a triangle, namely a right isosceles triangle.
Now, a right isosceles triangle has the angles 90, 45 and 45 degrees.
Now, if the equal sides of the triangle are 1 and 1 respectively, then by the Pythagoras theorem, the hypotenuse is equal to the root of 1^2 +1^2
which is root 2.
Now, by definition, Tangent means the opposite side of the angle upon the adjacent, i.e. the side touching the angle which is not the hypotenuse.
In this case, the tangent would be the opposite side, which is 1, upon the adjacent side, which is also 1, since the angle is 45 degrees.
So, the tangent of 45 degrees is 1/1, which is 1.
Hope this helped, and hope you enjoyed!
Now, a right isosceles triangle has the angles 90, 45 and 45 degrees.
Now, if the equal sides of the triangle are 1 and 1 respectively, then by the Pythagoras theorem, the hypotenuse is equal to the root of 1^2 +1^2
which is root 2.
Now, by definition, Tangent means the opposite side of the angle upon the adjacent, i.e. the side touching the angle which is not the hypotenuse.
In this case, the tangent would be the opposite side, which is 1, upon the adjacent side, which is also 1, since the angle is 45 degrees.
So, the tangent of 45 degrees is 1/1, which is 1.
Hope this helped, and hope you enjoyed!
Answered by
3
Answer:
In this case, the tangent would be the opposite side, which is 1, upon the adjacent side, which is also 1, since the angle is 45 degrees. So, the tangent of 45 degrees is 1/1, which is 1.
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