Math, asked by shreyags15, 10 months ago

prove that cosA / (1-sinA) + cosA /(1+sinA) = 2secA

Answers

Answered by pritamdash6365

1

Answer:

Step-by-step explanation:

LHS

[cosA/(1-sinA)] + [cosA/(1+sinA)

Taking LCM

[cosA(1+sinA) + cosA(1-sinA)]/[(1-sinA)(1+sinA)]

=(cosA+cotA + cosA - cotA)/(1-sin²A)

=2cosA/cos²A

=2/cosA

=2secA

RHS

Answered by pooja9147

1

Step-by-step explanation:

LHS

[cosA/(1-sinA)] + [cosA/(1+sinA)

Taking LCM

[cosA(1+sinA) + cosA(1-sinA)]/[(1-sinA)(1+sinA)]

=(cosA+cotA + cosA - cotA)/(1-sin²A)

=2cosA/cos²A

=2/cosA

=2secA

Previous Question

Next Question

Similar questions

Physics, 5 months ago

When phenolphthalein is added to HCl, the colour of the solution will be …………………… a) red b) pink c) green d) colourless...

Math, 5 months ago

x square + 6xy + ysquare factorise using identities...

Math, 5 months ago

Driving at a constant speed, Reggie travels 300 kilometers in 1 hour. What is Reggie’s speed in kilometers per hour?

Science, 10 months ago

the.......of a place is it's average weather pattern...

English, 10 months ago

Rama said to mohan", I will beat you now"...

English, 1 year ago

how to pass in last exam in class 7th how to get 80 out of 80 in math also or pass in 80 marks can you help me how to study...

Math, 1 year ago

a path separates two walls. a ladder leaning against one wall rest at a point on the path. It reaches a height of *9m* on the wall and makes an angle of 60° wkth the ground. If while resting at the same point on the path it were made to lean against the other wall it would have made an angle of 45° with the ground find the height it would have reached on the second wall pls answer fast i'll mark...

Computer Science, 1 year ago

Can any one make a certificate for me on computer practical my name Mohammed faizan Arif...