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Introduction of Trigonometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsIntroduction of Trigonometry1 Mark
Question
Write ‘True’ or ‘False’ and justify your answer.
$\frac{\tan47^\circ}{\cot43^\circ}=1$
✓

Answer

True.47º and 43º are complementry angles.
$\therefore\ \frac{\tan47^\circ}{\cot43^\circ}=\frac{\tan47^\circ}{\cot(90^\circ-47^\circ)}=\frac{\tan47^\circ}{\tan47^\circ}=1$
Hence, the given expression is true.

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