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Given that tan a = √3 find the other trigonometric ratios of angle A. hint sin a equals to root 3 upon 2, cos A = 1 upon 2, cot a = 1 upon root 3, cosec a equals to 2 upon root 3 and sec a equals to 2?
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Given that tan a = √3 find the other trigonometric ratios of angle A. ...
- **Finding Other Trigonometric Ratios of Angle A**
Finding the other trigonometric ratios of angle A, when tan A = √3, involves using the given information and trigonometric identities to determine sin A, cos A, cot A, cosec A, and sec A. Let's break it down step by step:
- **Given Information:**
- tan A = √3
- **Using Trigonometric Identities:**
- We know that tan A = sin A / cos A
- Given tan A = √3, we can find sin A and cos A
- sin A = √3 / 2
- cos A = 1 / 2
- **Calculating Other Trigonometric Ratios:**
- cot A = 1 / tan A = 1 / √3 = √3 / 3
- cosec A = 1 / sin A = 1 / (√3 / 2) = 2 / √3 = 2√3 / 3
- sec A = 1 / cos A = 1 / (1 / 2) = 2
- **Summary:**
- sin A = √3 / 2
- cos A = 1 / 2
- cot A = √3 / 3
- cosec A = 2√3 / 3
- sec A = 2
By using the given information and trigonometric identities, we were able to determine the values of sin A, cos A, cot A, cosec A, and sec A for angle A.
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Given that tan a = √3 find the other trigonometric ratios of angle A. hint sin a equals to root 3 upon 2, cos A = 1 upon 2, cot a = 1 upon root 3, cosec a equals to 2 upon root 3 and sec a equals to 2?
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Given that tan a = √3 find the other trigonometric ratios of angle A. hint sin a equals to root 3 upon 2, cos A = 1 upon 2, cot a = 1 upon root 3, cosec a equals to 2 upon root 3 and sec a equals to 2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Given that tan a = √3 find the other trigonometric ratios of angle A. hint sin a equals to root 3 upon 2, cos A = 1 upon 2, cot a = 1 upon root 3, cosec a equals to 2 upon root 3 and sec a equals to 2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that tan a = √3 find the other trigonometric ratios of angle A. hint sin a equals to root 3 upon 2, cos A = 1 upon 2, cot a = 1 upon root 3, cosec a equals to 2 upon root 3 and sec a equals to 2?.
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