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prove that cosecA/cotA+tanA=cosA
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prove that cosecA/cotA+tanA=cosA
Proof: cosecA/cotA tanA=cosA
To prove the given identity, we will use the trigonometric identities of cosecant, cotangent, and tangent functions.
Trigonometric Identities:
- cosecA = 1/sinA
- cotA = 1/tanA
- tanA = sinA/cosA
Proof:
We can start by substituting the values of cosecA and cotA in the given identity:
cosecA/cotA tanA
= (1/sinA)/(1/tanA) (sinA/cosA)
Next, we can simplify the above expression by multiplying the numerator and denominator of the first fraction by cosA:
= (1/sinA) (cosA/1) (sinA/cosA)
= (cosA/sinA) (sinA/cosA)
Now, we can cancel out the common terms of sinA and cosA, which results in:
= 1
Therefore, we have proved that the given identity is true:
cosecA/cotA tanA = cosA
Conclusion:
The given identity cosecA/cotA tanA = cosA is proved using the trigonometric identities of cosecant, cotangent, and tangent functions.
Community Answer
prove that cosecA/cotA+tanA=cosA
2nd method is that by addition of cotA and tanA after changing it in the sin and cos after that sin sq A + cos sq A =1 after that u multiply sinA.cosA with cosecA by converting it in to 1/sin A
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prove that cosecA/cotA+tanA=cosA
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prove that cosecA/cotA+tanA=cosA for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about prove that cosecA/cotA+tanA=cosA covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for prove that cosecA/cotA+tanA=cosA.
prove that cosecA/cotA+tanA=cosA for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about prove that cosecA/cotA+tanA=cosA covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for prove that cosecA/cotA+tanA=cosA.
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