SOLUTION: Without using tables find the values of (a) (tan69� + tan66�)/(1 - tan69�tan66�) (b) (sin45�cos15� + sin15�cos45�)/(sin45�cos15�

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Question 1132131: Without using tables find the values of
(a) (tan69� + tan66�)/(1 - tan69�tan66�)
(b) (sin45�cos15� + sin15�cos45�)/(sin45�cos15� - sin15�cos45�)
Answer by ikleyn(52798) (Show Source):
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(a) (tan69� + tan66�)/(1 - tan69�tan66�) = apply the formula tan(a+b) = = tan(69� + 66�) = tan(135�) = tan(180� + 45�) = 1. ANSWER (b) (sin45�cos15� + sin15�cos45�)/(sin45�cos15� - sin15�cos45�) = apply the formula sin(a+b) = sin(a)*cos(b) + cos(a)*sin(b) to the numerator; apply the formula sin(a-b) = sin(a)*cos(b) - cos(a)*sin(b) to the denominator. = = = = . ANSWER

Solved.

SOLUTION: Without using tables find the values of (a) (tan69� + tan66�)/(1 - tan69�tan66�) (b) (sin45�cos15� + sin15�cos45�)/(sin45�cos15� - sin15�cos45�)