The trigonometric expression of tan θ can be used to calculate the value of x.
The value of x can be written as, x = 10/tan 50°.
What are trigonometric ratios?
Trigonometric ratios are the ratios of the sides in a right triangle, that are fixed for all angles despite the measurements of the sides.
The various trigonometric ratios are:-
- sin θ = perpendicular/hypotenuse
- cos θ = base/hypotenuse
- tan θ = perpendicular/base
- cot θ = 1/tan θ = base/perpendicular
- sec θ = 1/cos θ = hypotenuse/base
- cosec θ = 1/sin θ = hypotenuse/perpendicular.
How to solve the question?
In the figure, we are asked to find the value of x.
In the given triangle, using the trigonometric expression of tan θ, we can write:
tan 50° = perpendicular/base = 10/x,
or, x = 10/tan 50°.
Thus, the trigonometric expression of tan θ can be used to calculate the value of x.
The value of x can be written as, x = 10/tan 50°.
Learn more about trigonometric expressions at
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