What is the value of $( tan10^o tan 80^o

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $( tan10^o tan 80^o +tan 20^o tan 70^o + tan 30^o tan 60^o + tan 40^o tan 50^o )$?

Options:

Correct Answer:

Explanation:

( tan10º.tan80º + tan20º.tan70º + tan30º.tan60º + tan40º.tan50º )

{ using , tanA.tanB = 1 Iff A + B = 90º }

= ( 1 + 1 + 1 + 1 )

= 4