Question 595739
tan^2 θ − 6 sec θ = 6 
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
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tan^2 θ − 6 sec θ = 6
sin^2/cos^2-6/cos-6=0
LCD: cos^2
sin^2-6cos-6cos^2=0
1-cos^2-6cos-6cos^2=0
-7cos^2-6cos+1=0
7cos^2+6cos-1=0
(7cos-1)(cos+1)=0
..
7cos θ-1=0
cos θ=1/7
θ≈1.427+2πk, and 4.856+2πk (in quadrants I and IV where cos>0)
or
cos θ+1=0
cos θ=-1
θ=π+2πk
..
ans:
θ≈1.427+2πk, 4.856+2πk, and π+2πk, k=integer