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Prove:- (tan x + sec x)2 = 2 sec^2x+2 tanx secx-1
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13 votes
Prove:-

(tan x + sec x)2 = 2 sec^2x+2 tanx secx-1

User Dries De Smet
by
4.3k points

1 Answer

9 votes

Answer:

see explanation

Explanation:

using the identity

tan²x = sec²x - 1

consider the left side

(tanx + secx)² ← expand using FOIL

= tan²x + 2tanxsecx + sec²x

= sec²x - 1 + 2tanxsecx + sec²x ← collect like terms

= 2sec²x + 2tanxsecx - 1

= right side , thus proven

User Xcalibur
by
4.4k points
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