3. If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
3. If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
Harshit Singh , 4 Years ago
Grade 12th pass
10 grade maths> 3. If tan 2A = cot (A – 18°), where 2A is...
1 AnswersPawan Prajapati
Last Activity: 4 Years ago
tan 2A = cot (A- 18°)
We know that tan 2A = cot (90° – 2A)
Substitute the above equation in the given problem
⇒ cot (90° – 2A) = cot (A -18°)
Now, equate the angles,
⇒ 90° – 2A = A- 18° ⇒ 108° = 3A
A = 108° / 3
Therefore, the value of A = 36°
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