If and with acute angles and , what is the measure of ?

Answer and explanation

Correct answer: A.

  1. Step 1: Use the tangent addition identity: .
  2. Step 2: Substitute the given values: .
  3. Step 3: Since , the sum . The unique acute angle with tangent equal to is .
Answer
.
Why not the others: corresponds to tangent ; corresponds to tangent ; corresponds to undefined tangent.

Practise more Trigonometric functions and inverse trigonometric functions.

Free questions with an explanation for every one, and full timed JEE Main mock tests.