Dundee3 said:Hey guys, I've been trying to wrap my mind around this problem but I've really come up short.
Any help would be amazing.
If tanX=10 Find the exact value of cot(pi/2 - x)
The Complementary Angle Theorem states that the sum of two complementary angles is always 90 degrees. This means that if one angle is known, the other angle can be easily found by subtracting the known angle from 90 degrees.
Trig Identities are mathematical equations that relate the values of different trigonometric functions. These identities can be used to simplify expressions and find exact values of trigonometric ratios. By substituting known values into the identities, we can solve for the exact value of a trigonometric function.
Some common Trig Identities used in finding exact values include the Pythagorean Identities, double angle identities, and half angle identities. These identities can be used to simplify expressions and solve for exact values of trigonometric functions.
Yes, the Complementary Angle Theorem can be used to find exact values. By using the theorem, we can find the value of one angle and then use Trig Identities to solve for the value of the other angle. This allows us to find the exact values of trigonometric ratios for both angles.
One way to check your answers is to use a calculator to evaluate the original expression and the simplified expression. If the values are equal, then your answer is correct. You can also plug in the values of the angles into the original expression and the simplified expression to see if they produce the same result.