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Question
`(cos 9^circ + sin 9^circ)/(cos 9^circ - sin 9^circ)` is equal to ______.
Options
tan 26°
tan 81°
tan 51°
tan 54°
MCQ
Fill in the Blanks
Solution
`(cos 9^circ + sin 9^circ)/(cos 9^circ - sin 9^circ)` is equal to tan 54°.
Explanation:
`(cos 9^circ + sin 9^circ)/(cos 9^circ - sin 9^circ)`
= `(1 + tan 9^circ)/(1 - tan 9^circ)`
= tan (45° + 9°)
= tan 54°
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Trigonometric Functions of Sum and Difference of Angles
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