Neco 2022 Mathematics Question 17

Practice objective / multiple choice question 17 from the 2022 Neco Mathematics examination.

Neco 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 17 NECO • 2022 • MATHEMATICS • objective

An acute angle \(\theta\) satisfies \(\sin\theta + \cos\theta = \frac{5}{4}\) and \(\theta < 45^{\circ}\). Find \(\tan\theta\) in simplest exact form.

Answer Options

A. \frac{5\sqrt{7}-16}{9}
B. \frac{16+5\sqrt{7}}{9}
Correct Answer C. \frac{16-5\sqrt{7}}{9}
D. \frac{16-5\sqrt{7}}{7}
Correct Answer
C
Correct Option:
\frac{16-5\sqrt{7}}{9}

About This Question

This is Neco 2022 Mathematics Question 17. It is one of the objective questions from the 2022 Neco Mathematics examination.

Difficulty level: Hard .

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