Question

Sec a + tan a=a find sec a and tan a

Answer 1

Answer:

this is the required answer...

Answer 2

Answer:

sec a= a & tan a= 2a

Step-by-step explanation:

sec a + tan a =a

1/cos a + sin a / cos a = a

cos a + sin a / cos a = a .........(squaring on both sides)

cos^2 a + sin^2 a /cos^2 a = a^2

1/cos^2 = a^2 ..........(sin^2 + cos^2 = 1)

sec^2 a = a^2...........(1/ cos a = sec a).....taking square root

sec a = a

Now, sec a + tan a = a

a + tan a = a ......(sec a = a)

tan a = a + a

tan a = 2a

Therefore, sec a= a and tan a= 2a