Question

If tan A= 1,what is the value of A​

Answer 1

Answer:

45°

Step-by-step explanation:

Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin,  cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = $\frac{\pi}{2} + n\pi$. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function ($tan^{-1}$) and plug in 1 to find the primary answer of 45.