Solve the equation
2tanA-cotA=1
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2tanA - CotA = 1
2tanA - 1/tanA = 1
2tan^2(A) - tan(A) - 1 = 0
(2tanA + 1)(tanA - 1) = 0
Interval: 0 ≤ A ≤ 2pi
tanA = 1 , A = 45°
tanA = 1/2, A = 26.565°
A = 45°, 26.565°
2tanA - 1/tanA = 1
2tan^2(A) - tan(A) - 1 = 0
(2tanA + 1)(tanA - 1) = 0
Interval: 0 ≤ A ≤ 2pi
tanA = 1 , A = 45°
tanA = 1/2, A = 26.565°
A = 45°, 26.565°
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Answer:
4 solutions
Step-by-step explanation:
2tan@-cot@+1=0
2tan@-1/tan@+1=0
2tan^2@-1+tan@=0
2tan^2@+tan@-1=0
2tan^2@-tan@+2tan@-1=0
tan@(2tan@-1)+1(2tan@-1)=0
(tan@+1)(2tan@-1)=0
tan@=-1 tan@=1/2
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