Answer the following questions:

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Answer the following questions: (a) Prove that tan⁡θ×tan⁡(90∘−θ)=1\tan\theta\times\tan(90^\circ-\theta)=1 for any acute angle θ\theta. (b) If tan⁡(3x−10∘)=tan⁡(90∘−(2x+25∘))\tan(3x-10^\circ)=\tan\bigl(90^\circ-(2x+25^\circ)\bigr), determine the value of xx.

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