In a right triangle, cos A = 0.352 and sin A = 0.936. What is the approximate value of tan A?
Trigonometry is the branch of mathematics dealing with right triangles and their relationships between their sides and angles. There are six ratios between different sides that are defined. Let's solve a question related to the concept.
Answer: In a right triangle, cos A = 0.352 and sin A = 0.936, the value of tan A is 2.659.
Let's understand the solution in detail.
In a right triangle:
The trigonometric ratio sin A is given by the formula; perpendicular/hypotenuse.
Here, sin A = 0.936
And, cos A is given by the formula; base/hypotenuse.
Here, cos A = 0.352
Therefore, sin A / cos A = perpendicular/base = tan A.
Hence, tan A = 0.936 / 0.352 = 2.659
Hence, in a right triangle, cos A = 0.352 and sin A = 0.936, the value of tan A is 2.659.