(1-TANQ) 2 + (1+TANQ) 2 = 2SEC 2 Q
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next time if you want to use expression like a power 2 write it as ( a^2)
LHS : (1 - tanq)^2 + (1 + tan q)^2
apply ( a+b)^2 and (a-b)^2 property
1 - 2tanq + tan^2 q + (1 + 2tanq + tan^2 q)
1 - 2tanq + tan^2 q + 1 + 2tanq + tan^2 q
1 + 1 + 2tan^2 q
2 + 2tan^2 q
2( 1 + tan^2 q)
2(sec^2 q) [ tan^2Θ + 1 = sec^2Θ]
LHS : (1 - tanq)^2 + (1 + tan q)^2
apply ( a+b)^2 and (a-b)^2 property
1 - 2tanq + tan^2 q + (1 + 2tanq + tan^2 q)
1 - 2tanq + tan^2 q + 1 + 2tanq + tan^2 q
1 + 1 + 2tan^2 q
2 + 2tan^2 q
2( 1 + tan^2 q)
2(sec^2 q) [ tan^2Θ + 1 = sec^2Θ]
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Step-by-step explanation:
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