Given the tangent functions of y = 1– 3 \tan (\frac{2x-\pi}{4}), find the

tricotasu

tricotasu

Answered question

2021-09-29

Given the tangent functions of y=13tan(2xπ4), find the Equation of all of its vertical asymptotes.

Answer & Explanation

delilnaT

delilnaT

Skilled2021-09-30Added 94 answers

Step 1
Given- y=13tan(2xπ4)
To find- The equation of vertical asymptotes.
Concept Used- To find the vertical asymptotes of the function y=p(x)q(x), equate q(x) with 0 and solve accordingly.
Step 2
Explanation- Rewrite the given expression,
y=13tan(2xπ4)
Simplify the above expression, we get,
y=13cot(2xπ4)
y=cot(2xπ4)3cot(2xπ4)
For vertical asymptotes, equate denominator with zero, we get,
cot(2xπ4)=0
(2xπ4)=0
2xπ=0
2x=π
x=π2
So, the equation of the vertical asymptotes is x=π2.
Answer- Hence, the equation of the vertical asymptotes is x=π2.

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