Verify whether the pair can represent for some real angle

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Verify whether the pair (725, 2425)\left(\dfrac{7}{25},\,\dfrac{24}{25}\right) can represent (sin⁡ϕ,cos⁡ϕ)(\sin\phi,\cos\phi) for some real angle ϕ\phi. State your conclusion with reason.

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