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It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A.

Tangent = Opposite side / Adjacent side.

Sine = Opposite / Hypotenuse.

Cosine = Adjacent / Hypotenuse.

A full explanation with diagram is at the related link below:

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Q: How can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?

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It depends on the details of the specific triangle.

they can be, depending on the information that you are given. If you know lengths of sides, then YES.

Depending on which sides and angle are known you would use one of the trigonometry functions.

The "sin" button on a calculator gives the sine trigonometric ratio of the given angle.

It is an isosceles triangle and the 3rd angle is 72 degrees.

We take side to take trigonometric ratios according 2 the vertex of triangle which is given.

The dimensions given fit that of a right angle triangle

No because the given dimensions do not comply with Pythagoras; theorem for a right angle triangle.

The Hypotenuse.

An equilateral triangle would fit the given description

Yes the given dimensions complies with Pythagoras' theorem for a right angle triangle.

If the triangle is a right triangle, then you can use the Pythagorean Theory, a2+b2=c2, where side c is the hypotenuse. If the triangle does not have any right angles, then you can apply trigonometric concepts. To find the side opposite the given angle, take the cosine (cos button on your calculator) of the length of the adjacent side divided by the length of the hypotenuse.

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