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In triangle RST above, point W (not show...


In triangle RST above, point W (not shown) lies on `bar(RT)`. What is the value of cos(`angleRSW) − sin(angleWST)` ?

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Note that no matter where point W is on `bar(RT)` , the sum of the measures of `angleRSW` and `angleWST` is equal to the measure of `angleRST`, which is `90^@`. Thus, `angleRSW` and `angleWST` are complementary angles. Since the cosine of an angle is equal to the sine of its complementary angle, `cos(angleRSW) = sin(angleWST)`. Therefore, `cos(angleRSW) − sin(angleWST) = 0.`
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