Triangle DEF is right-angled at E

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

Problem

Triangle DEF is right-angled at E. The lengths of the sides are DE = 6 cm, EF = 8 cm and DF = 10 cm. (i) Find tan⁡D\tan D. (ii) Find sin Dcos D\frac{\text{sin }D}{\text{cos }D} and compare your answer with part (i). Comment on what you observe. (iii) Calculate sin F\text{sin }F and cos F\text{cos }F, showing all working.

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