Write the trigonometric expression as an algebraic expression in u. sec⁡(cos−1u)

Carole Yarbrough

Carole Yarbrough

Answered

2021-12-20

Write the trigonometric expression as an algebraic expression in u.
sec(cos1u)

Answer & Explanation

Bertha Jordan

Bertha Jordan

Expert

2021-12-21Added 37 answers

Inside of the braces can be rewritten
cosθ=u and from Pythagoras theorem, we have another side as 1u2
1secθ=u
secθ=1u
Answer: secθ=1u
Medicim6

Medicim6

Expert

2021-12-22Added 33 answers

arccos(u)=θ say
cos(θ)=u
sec(θ)=1u
θ=arcsec(1u)
sec(arccos(u))
sec(arcsec(1u))
Answer: =1u
RizerMix

RizerMix

Expert

2021-12-29Added 437 answers

sec(cos1u)
let cos1u=x
cosx=u
1secx=u
secx=1u
we have cos1u=x
sec(cos1u)=1x

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