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Find the value of (tan 60° - tan 30°) / (1 + tan 60° tan 30°).

Class 10Trigonometric Ratios of Standard AnglesTrigonometry

A $\frac{1}{3}$
B $3$
C1
D0

Step-by-Step Solution

=

(3 - \frac{1}{3}) / (1 + 3 \times \frac{1}{3}) = (\frac{3 - 1}{3}) / (1 + 1) = \frac{2/ 3}{2} = \frac{1}{3}

. It equals tan 30°.

Answer: A)

\frac{1}{3}

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