find the Product of {1 + (cotx)2 }{1 – cosx}{1 + cosx} and also find the value of product at x= 45°
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Answer:
3/2
Step-by-step explanation:
=(1 + 2cotx) (1- cosx) (1 + cosx)
=(1 + 2cotx) (1 - cos²x )
=sin²x (1 + 2cotx)
=sin²x + 2 sinxcosx
= sinx (sinx + 2cosx)
When x = 45
=sin45 (sin45 + 2cos45)
=1/√2 (1/√2 + 2× 1/√2)
=1/√2 (1/√2 + √2)
= 1/2 + 1
= 3/2
The answer is 3/2
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