If cosec x= 3p and cot x = 3/p find the value of p²-1/p² (2)
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Answer:
1/9
Step-by-step explanation:
since cosecX=3p
therefore (cosecX/3)²=p².....1
and since cotX=3/p
therefore (cotX/3)²=1/p².....2
1-2=( cosec²X)/9-(cot²X)/9
(cosec²x-cot²x)/9
(1/sin²-cos²/sin²x)/9
[(1-cos²x)/sin²]/9
since 1-cos²x=sin²x
therefore
[sin²x/sin²x]/9
=1/9
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