Using the equation given : `x=4*tan theta` sketch the corresponding right angle triangle's diagram and give the value of the remaining trigonometric functions for any value of x.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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It is given that `x = 4*tan theta` .

For the angle `theta` , the ratio of the height and the base is x/4.

The value of `theta` would differ for different values of x.

Taking a random value of x = 4, `tan theta = 1` . In this case: `sin theta = 1/sqrt 2` , `cos theta = 1/sqrt 2` , `sec theta = cosec theta = sqrt 2` and `cot theta = tan theta = 1` .

The corresponding diagram of the triangle is:

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