Question

If tan (A+20) = Cot(3A - 30) where A is an acute angle then the value of A =
[25°, 30°, 45°, 10°]

please solve and show me


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Answer 1

Answer:

A= 25 degrees

Step-by-step explanation: Using compound angles, we know that cotA = tan(90-a)

Cot(3a-30) = tan(90-(a+20))

cot(3a-30) = cot (a+20)

cancelling cot on both sides,

3a-30 = a+ 20

2a= 50

a= 25