If \(sin \ \theta + cos \ \theta = \sqrt{3}\), then prove that \(tan \ \theta + cot \ \theta = 1\).
Proof:
\(sin \ \theta + cos \ \theta = \sqrt{3}\)
squaring on both sides and simplifying we get
\(sin \ \theta \ cos \ \theta \) =
1 =
By simplifying this then we get the result.
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