- #1
Kartik.
- 55
- 1
Solve -
sin 20° sin 40° sin 60° sin 80°
sin 20° cos 30° sin 40° cos 10°
hmm...?
sin 20° sin 40° sin 60° sin 80°
sin 20° cos 30° sin 40° cos 10°
hmm...?
The formula for solving this equation is to use the trigonometric identity sin A sin B = (1/2)(cos(A-B) - cos(A+B)) and then simplify the resulting expression.
This equation involves multiple sines and cosines because it is a product of trigonometric functions. In trigonometry, it is common to use multiple trigonometric functions in a single equation to represent relationships between angles and sides of a triangle.
The values that can be substituted for the trigonometric functions in this equation are any real numbers. However, it is important to note that the resulting value may not always be a real number, as some combinations of trigonometric functions can result in complex numbers.
The purpose of solving this equation is to find the value of the expression and potentially use it in further calculations or applications. It may also be used to understand the relationship between the angles and sides of a triangle.
Yes, this equation can be solved without using trigonometric identities, but it may be more complex and time-consuming. Trigonometric identities provide useful shortcuts to simplify the equation and make the calculation easier.