Question

SecA+tanA /SecA - tanA = 5/3 find the value of CosecA +CotA/ cosecA - CotA

Answer 1

Answer:

1

Secondary School Math 5 points

SecA+tanA/cosecA+cotA=cosecA-cotA/secA-tanA

Ask for details Follow Report by Aniketkumar9184 15.12.2018

Answers

MaheswariS

MaheswariS Ace

Answer:

Step-by-step explanation:

we know that

sec^{2}A-tan^{2}A=1\\\\(secA+tanA)(secA-tanA)=1\\\\secA+tanA=\frac{1}{secA-tanA}.......(1)

we know that

cosec^{2}A-cot^{A}=1\\\\(cosecA+cotA)(cosecA-cotA)=1\\\\cosecA+cotA=\frac{1}{cosecA-cotA}....(2)

Now,\\\frac{secA+tanA}{cosecA+cotA}

by using equations (1)&(2)

=\frac{\frac{1}{secA-tanA}}{\frac{1}{cosecA-cotA}}

=(\frac{1}{secA-tanA}).(\frac{cosecA-cotA}{1})\\\\=\frac{cosecA-cotA}{secA-tanA}

I hope this answer helps you