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In triangle ABC, right-angled at C, AC = 20 cm and AB = 29 cm. Find tan A + tan B.

Competition practiceTrigonometry

A841/420
B41/20
C1
D29/21

Step-by-Step Solution

BC = √

(2 9^{2} - 2 0^{2}) = 21

cm. tan

A = 21/20

and tan

B = 20/21

, so the sum is

(441 + 400) /420 = 841/420

.

Answer: A) 841/420

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