Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving triangles, such as finding missing sides or angles.
Sin90 and tan45 are trigonometric functions that represent the ratios of sides in a right triangle. Sin90 represents the ratio of the opposite side to the hypotenuse, while tan45 represents the ratio of the opposite side to the adjacent side. Therefore, sin90 + tan45 is a mathematical expression that represents the sum of these two ratios.
To solve this expression, we first need to find the values of sin90 and tan45. Since sin90 is the ratio of the opposite side to the hypotenuse in a right triangle with a 90-degree angle, it is equal to 1. And since tan45 is the ratio of the opposite side to the adjacent side in a right triangle with a 45-degree angle, it is equal to 1 as well. Therefore, sin90 + tan45 = 1 + 1 = 2.
The solution for sin90 + tan45 is equal to 2 because, as mentioned earlier, sin90 represents the ratio of the opposite side to the hypotenuse, which is always 1 in a right triangle with a 90-degree angle. And tan45 represents the ratio of the opposite side to the adjacent side, which is also always 1 in a right triangle with a 45-degree angle. Therefore, when we add these two ratios, we get a total of 2.
Understanding the solution for sin90 + tan45 is important because it helps us understand the basic concepts of trigonometry and how to solve similar problems. It also helps in further applications of trigonometry, such as in physics, engineering, and astronomy, where the use of trigonometric functions is crucial in solving real-world problems.