If $\sin \theta+\cos \theta=\sqrt{5} \si

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sin \theta+\cos \theta=\sqrt{5} \sin (90-\theta)$, find the value of $\cot \theta$.

Options:

$\frac{\sqrt{5}-1}{5}$

$\frac{\sqrt{5}+1}{4}$

$\frac{\sqrt{5}+1}{3}$

$\frac{\sqrt{5}-1}{4}$

Correct Answer:

$\frac{\sqrt{5}+1}{4}$