
Patryk K.
asked 04/24/20I need help with trygonometry
Calculate:
(cos3x + 3sin3x)/cosx
Tg = 3/4
1 Expert Answer
Arthur D. answered 04/24/20
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
tg means tangent in trigonometry
so, I'll assume you mean tangent
(cos^3x+3sin^3x)/cosx
(cos^3x/cosx)+(3sin^3x/cosx)
cos^2x+(3sin^2x)(sinx/cosx)
cos^2x+(3sin^2x)(tanx)
cos^2x+(3sin^2x)(3/4)
cos^2x+(9/4)(sin^2x)
cos^2x+2.25sin^2x
cos^2x+sin^2x+1.25sin^2x
1+1.25sin^2x
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Paul M.
04/24/20