The value of (cosec a – sin a) (sec a – cos a) (tan

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The value of (cosec a – sin a) (sec a – cos a) (tan a + cot a) is

1. 1
2. 6
3. 2
4. 4

Correct Option: A

Expression
= (cosec a – sin a) (sec a – cos a) (tan a + cot a)

	sin²a + cos²a
	cosa . sina

=		cos²a	×	sin²a	×	1
		sina		cosa		cosa.sina

= 1