Prove that tan a upon 1 + sec a - 10 upon 1 minus 1 is equal to 2 cosec a
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Answer:
Step-by-step explanation:
TanA/1+SecA - TanA/1 - SecA = 2CosecA
L.H.S
TanA(1-SecA) - TanA(1+SecA) / 1 - Sec²A
= - 2TanASecA/ - Tan²A
= 2SecA/TanA
= (2/CosA) / (SinA/CosA)
= 2/CosA * CosA/SinA
= 2/SinA
= 2 CosecA
=R.H.S
Hence proved
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