1958 AHSME Problems/Problem 38
Problem
Let be the distance from the origin to a point with coordinates and . Designate the ratio by and the ratio by . Then the values of $s^2 \minus{} c^2$ (Error compiling LaTeX. Unknown error_msg) are limited to the numbers:
$\textbf{(A)}\ \text{less than }{\minus{}1}\text{ are greater than }{\plus{}1}\text{, both excluded}\qquad\\ \textbf{(B)}\ \text{less than }{\minus{}1}\text{ are greater than }{\plus{}1}\text{, both included}\qquad \\ \textbf{(C)}\ \text{between }{\minus{}1}\text{ and }{\plus{}1}\text{, both excluded}\qquad \\ \textbf{(D)}\ \text{between }{\minus{}1}\text{ and }{\plus{}1}\text{, both included}\qquad \\ \textbf{(E)}\ {\minus{}1}\text{ and }{\plus{}1}\text{ only}$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 37 |
Followed by Problem 39 | |
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