Solving Trigonometric problems using Identites and Right Trianlges

 When you are solving to find all trigonometric functions, there are two possible way to do so. One way is using right triangles to find all the function with given one we know. Using SOH CAH TOA , we are able to to find the trig functions of any other angle. O=opposite, H=hypotenuse, A=adjacent.

Since we are given sin=1/2 and cos=rad3/2, we all the required information we need.   **problem worked out here------------->















The next way to find all possible trig function is using the identities. we must first know where the the functions will be located on the unit circle. since cos and sin are both in in the 1st quadrant, we now know that all possible answers will be positive. Now, here are the identities that we use:

tan=sin/cos
cot=cos/sin                 The work is shown here----->
csc=1/sin
sec=1/cos