Additional Mathematics – Trigonometry | e-Consult
Trigonometry (1 questions)
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Start by isolating sec x:
2 sec x = √3 ⇒ sec x = √3⁄2.
Recall that sec x = 1 / cos x, so:
1 / cos x = √3⁄2 ⇒ cos x = 2⁄√3 = 2√3⁄3.
The value 2√3⁄3 ≈ 1.1547, which is greater than 1, so there is no real angle with this cosine value. Therefore, the original equation has no solution in the given interval.