find a if tan 2a = cot(a-24)
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Answer:38
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Answer: The value of a in the given equation is 38.
Step-by-step explanation:
Here,
tan 2a = cot(a - 24)
⇒ cot (90 - 2a ) = cot (a - 24) ( tan α = cot (90° - α )
⇒ 90 - 2a = a - 24 ( cot a = cot b ⇒ a = b )
⇒ -2a - a = -24 - 90
⇒ -3 a = -114
⇒ a = 38 ( Dividing both terms by -3 )
Thus, the value of a in the given equation is 38.
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