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Question
`(tan 80^circ - tan 10^circ)/(tan 70^circ)` is equal to ______.
Options
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MCQ
Fill in the Blanks
Solution
`(tan 80^circ - tan 10^circ)/(tan 70^circ)` is equal to 2.
Explanation:
`(tan 80^circ - tan 10^circ)/(tan (80^circ - 10^circ))`
= `(tan 80^circ - tan 10^circ)/(tan 80^circ - tan 10^circ) xx (1 + tan 80^circ tan 10^circ)`
= 1 + tan 80° tan 10°
= 2
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Trigonometric Functions of Sum and Difference of Angles
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