Ask Question
21 July, 16:31

Tan 5pi/8 exact value

+5
Answers (1)
  1. 21 July, 19:06
    0
    To solve this exercirse, you must apply the proccedure below:

    1. You need to apply the "Half-angle identity for tangent", which is:

    Tan (θ/2) = Sinθ/1+Cos θ

    2. But first, the angle 5 π/4 must be expressed as a product of 1/2, as below:

    5π/8 = (5π/4) (1/2)

    3. Now, you can susbtitute the angle into the formula:

    =Sinθ/1+Cosθ

    =Sin (5π/4) / 1+Cos (5π/4)

    Sin (5π/4) = - √2/2

    Cos (5π/4) = Cos (π/4)

    π/4 is the reference angle of 5π/4

    π/4=√2/2

    4. Then:

    = (-√2/2) / (1-√2/2)

    5. When you simplify the expression, you obtain:

    =-1-√2

    6. Therefore, the answer is: - 1-√2
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Tan 5pi/8 exact value ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers