Question

(1+ cotx - cosecx), (1 + tanx + secx) = 2 prove LHS=RHS​

Answer 1

Answer:

Hope my answer helps you mate :-)

Step-by-step explanation:

cotX = =CosX/SinX

CosecX= 1/sinX

tanX=sinX/cosX

secX=1/c

sinx +cosx/sinx-

1/sinX)(1+sinX/CosX + 1/cosX)

(sinX + cosX-1/sinx)(cosx+sinX+1/CosX)

Let Sinx+Cosx Be A and 1 be B

By identity a²-b²

[(sinx+cosx)² - 1]/sinxcosx

sin²x + cos²x +2sinxcosx -1/sinxcosx

Now as sin²x + cos²x = 1

2sinxcosx/sinxcosx

2

LHS=RHS

Hence proved