rachael said:Use the compound angle formulas and appropriate angles to find the exact value of each
of the following:
D. d tan (pi/12)
thank you
The exact value of d tan (π/12) is 2 - √3, which is approximately equal to 0.2679.
To find the exact value of d tan (π/12), you can use the trigonometric identity tan (π/12) = sin (π/12) / cos (π/12). Then, using the values of sin (π/12) = 1/2 and cos (π/12) = √3 / 2, you can simplify the expression to get the exact value of 2 - √3.
Finding the exact value of d tan (π/12) is important because it helps in solving various mathematical problems involving trigonometric functions. It also helps in understanding the behavior and properties of trigonometric functions.
Yes, the exact value of d tan (π/12) can be simplified to 2 - √3, which is also known as the golden ratio. This simplified form is often used in mathematical calculations and has many interesting properties.
The exact value of d tan (π/12) can be verified by using a scientific calculator to evaluate the expression tan (π/12) and comparing it with the simplified form 2 - √3. They should give the same result, thus verifying the exact value.