The value of $(1 + tan 10°)(1

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $(1 + tan 10°)(1 + tan35°)$ is :

Options:

$\frac{1}{2}$

$\frac{3}{4}$

Correct Answer:

Explanation:

We know,

If A + B = 90°

Then ( 1 + tanA ).(1 + tanB ) = 2

Now,

( 1 + tan10° ).(1 + tan35° )

As ,

Sum of angle is 10° + 35° = 45°

So,

( 1 + tan10° ).(1 + tan35° )

= 2