Question
Download Solution PDFWhat is \(\rm \frac{\cos 17^\circ-\sin 17^\circ}{\cos 17^\circ+\sin ^\circ}\) equal to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
⇒ \(\frac{cos17°- sin17°}{cos17°+ sin17°} = \frac{cos17°(1-\frac{sin 17°}{Cos17°})}{cos17°(1+\frac{sin 17°}{Cos17°})}\)
= \(\frac{1-\tan17°}{1+\tan17°}\)
= \(\frac{tan 45° - tan17°}{1 + tan 45°. tan17°}\)
= tan 28° = Cot 62°
∴ the Correct answer is Option 4.
Last updated on May 30, 2025
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