The value of the solution is 3π/2.
What is a trigonometric equation?
An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.
tan x/2 = -1
tanx/2 = tan(-π/4)
tanx=tanФ
⇒ The general equation of tanx=tanФ is
⇒ x=nπ+Ф
x/2=nπ+(-π/4)
at n=0
x/2=-π/4
x=-π/2
at n=1
x/2=π-π/4
x/2=3π/4
x=3π/2
learn more about trigonometric equations here :
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Questions: Which value is a solution for the equation tan x/2 = -1?
A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2
