Find the exact value of the expression \tan(\frac{4\pi}{3}-\frac{\pi}{4})

Armorikam

Armorikam

Answered question

2021-08-15

Find the exact value of the expression tan(4π3π4)

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-08-16Added 97 answers

Trigonometry:
tan(4π3π4)
We know
tan(ab)=tanatanb1+tanatanb
tan(4π3)=tan(240)
=tan(902+60)
=tan60
=3
tan(π4)=1
tan(4π3π4)
=tan4x3tanx41+tan4x3tanx4
=311+3
=(31)(31)(3+1)(31)
=323+131
=4232
=23
=0.2679
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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