The equation 15=35sinΘ is an equation that involves the sine function and a variable, Θ. It states that when 15 is divided by 35, the result is equal to the sine of the angle Θ.
This equation is important because it is a fundamental trigonometric equation that is used in many fields of science and mathematics. It allows us to solve for an unknown angle in a right triangle or other trigonometric applications.
This equation can be solved without a calculator by using trigonometric identities and properties, such as the double angle formula, the Pythagorean identity, and the unit circle. These methods involve using basic arithmetic and algebraic operations to isolate the variable Θ and solve for its value.
The steps to solve 15=35sinΘ without a calculator are:
This equation has many real-world applications, such as in physics, engineering, and navigation. It can be used to calculate the height of an object, the distance between two points, or the angle of elevation or depression in a given situation. It is also used in fields like astronomy and surveying to make precise measurements and calculations.