Question

The expression (secx + tanx)2 is the same as _____.

A.1 + 2cscx
B.sec2x + 2cscx + tan2x
C.sec2x + tan2x
D.1 + 2tan2x + 2secx tanx

Answer 1

(secx + tanx)^2
secxsecx + secxtanx + secxtanx + tanxtanx
secxsecx + 2secxtanx + tanxtanx
tanxtanx + 1 + 2secxtanx + tanxtanx
2tanxtanx + 1 + 2secxtanx 

The expression (secx + tanx)2 is the same as 1 + 2tan2x + 2secx tanx. The answer is letter D.

Answer 2

Hello there.

The expression (secx + tanx)2 is the same as _____.

D.1 + 2tan2x + 2secx tanx