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What is tanx if cosx = 1/r
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Given that cos x = 1/r, express tan x in terms of r

A. 1/✓r
B. ✓r
C. ✓r² + 1
D. ✓r² - 1

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peter
Asked by peterrep:1.4K
University of Lagos Nigeria
04 March 2020

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judziy, University of Benin
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judziy
Judziy answeredrep:1.4K
University of Benin Nigeria
15 July 2020
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cosx = 1/r

But from trigonometry, cosx = adj/hyp

Therefore,

adj = 1

hyp = r

tanx = opp/adj

From pythagoras theorem,

hyp2 = opp2 + adj2

opp = ✓hyp2 - adj2

opp = ✓r2 - 12

opp = ✓r2 - 1

tanx = (✓r2 - 1)/1

tanx = ✓r2 - 1

Ans D

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