Question

For a right triangle ABC, you are told that cos A=X and sun A=y. Which option gives an expression that is equivalent to tan A? X/ x2+y2. X/y. Y/X. Y/x2+y2

Answer 1

For a right triangle ABC, the expression that is equivalent to tan A is y/x.

What is defined as the trigonometric functions?

• Trigonometric functions, also recognized as circular functions, are simply functions of a triangle's angle.
• These trig functions define the relationship between both the angles as well as sides of a triangle.
• Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
• The sine, cosine, as well as tangent angles are the primary categorization of trigonometric functions.
• The primary functions can be used to derive the three functions cotangent, secant, and cosecant.

For the given question,

In a right triangle ABC.

The cosine and sin functions are defined as;

cos A=X and sin A=y.

Then, we know that tan A function can be written in the form in the form of cos A and sin A as,

tan A = sin A/ cos A

Put the values,

tan A = y/x

Thus, the expression that is equivalent to tan A is y/x.

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