A line through the origin makes an acute angle with the positive -axis and has slope

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A line through the origin makes an acute angle θ\theta with the positive xx-axis and has slope 34\dfrac{3}{4}. Find the value of (sin⁡θ)(cot⁡θ)+(cos⁡θ)(tan⁡θ)(\sin\theta)(\cot\theta)+(\cos\theta)(\tan\theta). (a) 2425\dfrac{24}{25} (b) 75\dfrac{7}{5} (c) 2120\dfrac{21}{20} (d) 2516\dfrac{25}{16}

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