Tan of complementary of an angle is same

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Tan of complementary of an angle is same as which of the angles?

Options:

sin of the angle

cot of the angle

cos of the angle

cosec of the angle

Correct Answer:

cot of the angle

Explanation:

Complementary angles :-

Two angle are said to be complementary if there sum is 90º.

i.e if one angle is θ than other angle is ( 90º - θ ).

ATQ,

Complementary angle of tanθ

= tan ( 90º - θ )

= cot θ { using, tan ( 90º - θ ) = cot θ}