please somebody solve this
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prakhargupta3301:
is it 30 degree or 30 second arc
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Given A= 30°
We know that 2A will be 60°
Hence, sin(2A)= Sin60°= (√3)/2 ⇒ LHS
RHS= {before that, we know tan30°= 1/(√3)
= {2(tanA)}÷{1+tan²A}
= {2(tan30°)}÷{1+tan²30°}
= {2/(√3)}÷{1+(1/3) ∴,tan²30°= {1/(√3)}×{1/(√3)}
={2/(√3)}÷{4/3}
=2/(√3)×3/4
=1/1×(√3)/2
=(√3)/2
Hence, LHS=RHS
We know that 2A will be 60°
Hence, sin(2A)= Sin60°= (√3)/2 ⇒ LHS
RHS= {before that, we know tan30°= 1/(√3)
= {2(tanA)}÷{1+tan²A}
= {2(tan30°)}÷{1+tan²30°}
= {2/(√3)}÷{1+(1/3) ∴,tan²30°= {1/(√3)}×{1/(√3)}
={2/(√3)}÷{4/3}
=2/(√3)×3/4
=1/1×(√3)/2
=(√3)/2
Hence, LHS=RHS
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here's your answer
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