Find all the values of x in the interval [0,2\pi) that solve the equation

Dolly Robinson

Dolly Robinson

Answered question

2021-08-17

Find all the values of x in the interval [0,2π) that solve the equation
3sec2x5secx=2

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-08-18Added 104 answers

Solution:
3sec2x5secx=2
Let secx=t
3t25t=2
3t25t2=0
t=(5)±(5)24×3×(2)2×3
t=2,13
λ0,secx=2x=π3
secx=13xdoesn't exist
Hence, root =π3
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-23Added 2605 answers

Answer is given below (on video)

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