12 grade maths others
The value of tan 20° is equal to
- A. tan 60°
- B. cot 60°
- C. tan 45°
- D. tan 80°
The value of tan 20° is equal to
- A. tan 60°
- B. cot 60°
- C. tan 45°
- D. tan 80°
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoThe value of tan 20° can be compared to other trigonometric functions. Let's analyze the options provided:
Comparing Trigonometric Values
- A. tan 60°: This is equal to √3, which is approximately 1.732.
- B. cot 60°: This is the reciprocal of tan 60°, so it equals 1/√3, approximately 0.577.
- C. tan 45°: This value is exactly 1.
- D. tan 80°: This is equal to cot 10°, which is much larger than tan 20°.
Finding the Correct Answer
Among these options, the correct relationship is:
tan 20° = cot 70°, and since cot 70° is equal to tan 20°, we can conclude that:
The answer is D. tan 80°, because tan 80° is equal to cot 10°, which relates back to tan 20° through complementary angles.
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