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प्रश्न
If A = 30°;
show that:
`(1 – cos 2"A")/(sin 2"A") = tan"A"`
उत्तर
Given that A = 30°
LHS = `(1 – cos2 "A")/(sin 2"A")`
= `(1 – cos 2 (30°))/(sin2 (30°))`
= `(1 – (1)/(2))/((sqrt3)/(2)`
= `(1)/(sqrt3)`
RHS = tan A
= tan 30°
= `(1)/(sqrt3)`
LHS = RHS
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