Final answer:
The correct answer is (a) 3/4.
Step-by-step explanation:
The value of tan A given the values of sin A and cos A. In trigonometry, tan A is defined as the ratio of the sine of angle A to the cosine of angle A. Mathematically, this is represented as:
tan A = sin A / cos A
If sin A and cos A are both known, you can directly calculate tan A using this formula. However, the values for sin A and cos A are not provided in the question. It's essential to have actual numerical values or expressions for both to find tan A.
The provided information discusses various trigonometric identities and properties of triangles, such as the law of sines and the law of cosines, which are crucial in solving various trigonometry problems involving triangles. Remember that the tangent function is one of the primary trigonometric functions used to relate the angles and sides of a right triangle.
- Use the fundamental trigonometric identity: an A = sin A/cos A.
- Substitute the given values of sin A and cos A.
- Calculate tan A.
The correct value of tan A is 3/4. The solution involves applying the trigonometric identity for tangent and substituting the given values for sine and cosine. The final result is the ratio of sine to cosine, which is 3/4.
Complete Question:
If the sinA = 3/5 and the cosA = 4/5 , then what is tan A?
a: 3/4
b: 1
c: 4/3