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1980 AHSME Problems/Problem 18

Revision as of 00:20, 3 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == If <math>b>1</math>, <math>\sin x>0</math>, <math>\cos x>0</math>, and <math>\log_b \sin x = a</math>, then <math>\log_b \cos x</math> equals <math>\text{(A)} \ 2...")
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Problem

If $b>1$, $\sin x>0$, $\cos x>0$, and $\log_b \sin x = a$, then $\log_b \cos x$ equals

$\text{(A)} \ 2\log_b(1-b^{a/2}) ~~\text{(B)} \ \sqrt{1-a^2} ~~\text{(C)} \ b^{a^2} ~~\text{(D)} \ \frac 12 \log_b(1-b^{2a}) ~~\text{(E)} \ \text{none of these}$

Solution

$\fbox{}$

See also

1980 AHSME (Problems • Answer Key • Resources)
Preceded by
Problem 17 		Followed by
Problem 19
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

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