If for , find the value of…

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

Problem

If tan⁡θ=34\tan\theta=\dfrac{3}{4} for 0∘<θ<90∘0^\circ<\theta<90^\circ, find the value of 1+cot⁡2θ1+\cot^2\theta. (a) 499\dfrac{49}{9} (b) 259\dfrac{25}{9} (c) 2516\dfrac{25}{16} (d) 169\dfrac{16}{9}

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