Answer :

Given that, A and B are acute angles.

⇒ A < 90° & B < 90°

So, using trigonometric identity, we can say

tan (90° - B) = cot B [∵, tan (90° - θ) = cot θ]

Replace cot B of RHS by tan (90° - B) in the given question.

tan A = cot B

⇒ tan A = tan (90° - B)

Now, comparing the degrees from the above, we get

A = 90° - B

⇒ A + B = 90°

Hence, proved that A + B = 90°.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Evaluate

Show that <span lAP- Mathematics

Evaluate the follAP- Mathematics

If tan A = cot B AP- Mathematics

Evaluate

If A, B and C areAP- Mathematics

Evaluate

Evaluate

Show that <span lAP- Mathematics

Show that