Simplify { 71^{}+ 19^{}}{1- 71^{} 19^{}}.

Correct Answer is : Not defined

Correct Answer is : Not defined

Test Index

Telangana TET Paper 2 Math and Science Model Paper 5

Section: Math and Science

Question : 94 of 150

Marks: +1, -0

Simplify

\frac{\tan 71^{\circ}+\tan 19^{\circ}}{1-\tan 71^{\circ} \tan 19^{\circ}}

Solution:

Concept:

The expression matches the tangent addition formula:

\tan(A+B) = \frac{\tan A + \tan B}{1 - \tan A \tan B}

Explanation:

Let

A = 71^\circ

and

B = 19^\circ

. Then the given expression becomes

\tan(71^\circ + 19^\circ) = \tan 90^\circ

\tan 90^\circ

is undefined because

\cos 90^\circ = 0

, making the ratio

\frac{\sin 90^\circ}{\cos 90^\circ}

division by zero.

Answer:

C. Not defined

Go to Question:

Prev Question

Next Question