Q.

$\log \tan 1^{0} + \log \tan 2^{0} + . . . . . . . . . . . + \log \tan 89^{0} =$

Easy

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

-1

answer is B.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{rcl} \log \tan 1^{0} + \log \tan 2^{0} + . . . . . . . . . . . + \log \tan 89^{0} \\ = & \log \tan 1 ° \tan 89 ° \tan 2 ° \tan 88 ° . . . . . \tan 45 ° \\ = & \log 1 = 0 (∵ A + B = 90^{o} \Rightarrow \tan A \tan B = 1) \end{array}$

Choose your Grade and Exam

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.