"Since sin^{2}Θ + cos^{2}Θ = 1, I should be able to say sin Θ + cos Θ = 1 if I take the square root of both sides?"

1. Is this statement correct or incorrect?

2. If correct, show work to prove. If incorrect, explain the mistake made in the statement.

incorrect because we take square root whole square like (sinQ+cosQ)^2...........................not single square......

What do you mean by "whole square" rather than "single square"?

whole square mean (sinQ+cosQ)^2. and single square mean (sinQ)^2+(cosQ)^2 LIKE THIS

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