2 tan 30°
------------ = ?
1 + tan² 30 °
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1
Answer:
root3/2
Step-by-step explanation:
tan 30 = 1/root3
so
2 tan30/1+tan²30 =( 2/root3)/(1+1/3)
= (2/root3)/(4/3)
=2*3/4*root3
=6/4root3
rationalizing 4root3
so 6/4root3 *4root3/4root3
= 24root3/ 48
= root3/2
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