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Evaluate the following: tan 20° – cot 70° - Mathematics

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प्रश्न

Evaluate the following:

tan 20° – cot 70°

मूल्यांकन
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उत्तर

Given: tan 20° – cot 70°

Step-wise calculation:

1. Use the complementary-angle identity cot θ = tan (90° – θ).

2. Therefore, cot 70° = tan (90° − 70°) 

= tan 20°

3. So, tan 20° − cot 70°

= tan 20° − tan 20°

= 0

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अध्याय 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [पृष्ठ ३८०]

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नूतन Mathematics [English] Class 9 ICSE
अध्याय 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18C | Q 2. (ii) | पृष्ठ ३८०
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