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What is the value of cos A sec A + sin A cosec A – tan A cot A?
  • a)
    0
  • b)
    2
  • c)
    1
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the value of cos A sec A + sin A cosec A – tan A cot A?a...
Explanation:

Given expression: cos A sec A + sin A cosec A – tan A cot A

We know that:
- sec A = 1/cos A
- cosec A = 1/sin A
- tan A = sin A/cos A
- cot A = cos A/sin A

Substitute the values:
cos A sec A + sin A cosec A – tan A cot A
= cos A * (1/cos A) + sin A * (1/sin A) – (sin A/cos A) * (cos A/sin A)
= 1 + 1 - 1
= 1
Therefore, the value of the given expression is 1, which corresponds to option 'C'.
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Community Answer
What is the value of cos A sec A + sin A cosec A – tan A cot A?a...
Cos A sec A = 1
Similarly sin A cosec A = 1 and tan A cot A = 1
∴ cos A sec A + sin A cosec A – tan A cot A = 1 + 1 – 1 = 1
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What is the value of cos A sec A + sin A cosec A – tan A cot A?a)0b)2c)1d)3Correct answer is option 'C'. Can you explain this answer?
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