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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:

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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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.

The dimensions given fit that of a right angle triangle

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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.

The trigonometric functions and their inverses are closely related and provide a way to convert between angles and ratios of sides in a right triangle. The inverse trigonometric functions are also known as arc functions or anti-trigonometric functions. The primary trigonometric functions (sine, cosine, and tangent) represent the ratios of specific sides of a right triangle with respect to one of its acute angles. For example: The sine (sin) of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent (tan) of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side. On the other hand, the inverse trigonometric functions allow us to find the angle given the ratio of sides. They help us determine the angle measure when we know the ratios of the sides of a right triangle. The inverse trigonometric functions are typically denoted with a prefix "arc" or by using the abbreviations "arcsin" (or "asin"), "arccos" (or "acos"), and "arctan" (or "atan"). For example: The arcsine (arcsin or asin) function gives us the angle whose sine is a given ratio. The arccosine (arccos or acos) function gives us the angle whose cosine is a given ratio. The arctangent (arctan or atan) function gives us the angle whose tangent is a given ratio. The relationship between the trigonometric functions and their inverses can be expressed as follows: sin(arcsin(x)) = x, for -1 ≤ x ≤ 1 cos(arccos(x)) = x, for -1 ≤ x ≤ 1 tan(arctan(x)) = x, for all real numbers x In essence, applying the inverse trigonometric function to a ratio yields the angle that corresponds to that ratio, and applying the trigonometric function to the resulting angle gives back the original ratio. The inverse trigonometric functions are useful in a variety of fields, including geometry, physics, engineering, and calculus, where they allow for the determination of angles based on known ratios or the solution of equations involving trigonometric functions. My recommendation : 卄ㄒㄒ卩丂://山山山.ᗪ丨Ꮆ丨丂ㄒㄖ尺乇24.匚ㄖ爪/尺乇ᗪ丨尺/372576/ᗪㄖ几Ꮆ丂Ҝㄚ07/

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.

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

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

The angle of the resultant force can be calculated using trigonometry principles such as the Pythagorean theorem and inverse trigonometric functions. Given the magnitudes of the two component forces, you can determine the angle using the formula: angle = arctan(opposite/adjacent). This will help you find the direction in which the resultant force is acting.

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.

First of all, a sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.The teacher told us to use the word sine in a sentence.He told us what a sine is and how you use it.A sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.

The Hypotenuse.