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+1 vote
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in Trigonometry by (50.4k points)
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The value of tan 75°– cot 75° is equal to

A. 2√3

B. 2 + √3

C. 2 – √3

D. 1

1 Answer

+2 votes
by (49.0k points)
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Best answer

A. 2√3

Explanation:

According to the question,

We have,

tan 75°– cot 75°

= -2cot150°

= -2 cot (180°-30°)

= 2cot30°

=2√3

Thus, option (A) 2√3 is the correct answer.

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