Question

Determine the value for the trigonometric expression. Give an exact answer in degrees. Hint: Consider only the principal value of an inverse trigonometric function. Cos(Ta * n ^ - 1 - (sqrt(3))/3)

Answer 1

√3/2

Explanation:

We are to find the exact value of the expression below

Cos(Tan^- 1 - (sqrt(3))/3)

Evaluate the one in bracket first

Tan^-1√3/3 = 30°

Cos(Tan^- 1 (sqrt(3))/3) = Cos30°

Now find cos30°

cos30° = √3/2

Hence the value for the trigonometric expression is √3/2