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If sin x = 513 and 0o x \(\...

If sin x = 513 and 0o x 90o, find the value of (cos x - tan x)

A.

713

B.

1213

C.

79156

D.

209156

Correct answer is C

Sin x = 513

0o x 90o, (cos x - tan x)

AC2 = AB2 + BC2

132 = 52 + BC2

169 - 25 + BC2

169 - 25 = BC2

144 = BC2

Cos x = AdjHyp = 1213

BC = 144

BC = 12

tan x = oppadj=512

BC = 12

cos x - tan x = 1213512

14465156=79156