If tan 5A = cot (26° + 3A) then the measure of angle A is
(1) 15
(2) 16
(3) 10
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It is given that tan 5A = cot (26°+3A) --(i)
It is known that tan 5A = cot (90°-5A) --(ii)
Equating (i) and (ii), we have:
cot (26°+3A) = cot (90°-5A)
=> 26°+3A = 90°-5A
=> 3A+5A = 90°-26°
=> 8A = 64°
=> A = (64/8)° = 8°
Pls see whether ur options are correct.
My ans is 8°.
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