Math, asked by diya4465, 11 months ago

What is the value of (tan A+ cotA+ secA)( tanA+cotA- secA)​

Answers

Answered by Crystall91
3

(tanA+cotA+secA)(tanA+cotA-secA)

=>tanA(tanA+cotA-secA)+cotA(tanA+cotA-secA)+secA(tanA+cotA-secA)

=>tan²A+1-tanAsecA+1+cot²A-cotAsecA+secAtanA+cotAsecA-sec²A {tanAcotA = 1}

=>tan²A+1+cot²A-sec²A+1

=>sec²A+cot²A-sec²A+1 {1+tan²A = sec²A)

=>cot²A+1

=>cosec²A

Cheers!


Crystall91: my wifi is slow, i am sorry i won't be able to to.
diya4465: pk
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Crystall91: tell me, do you have any doubts regarding this
diya4465: no
diya4465: this is clear now
diya4465: i got it
diya4465: thanks
diya4465: for helping me
Crystall91: your welcome :D
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