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If tan(A/2) = x, then the value of x is
- A(1 – cosA)/sinA
- B(1 + cosA)/sinA
- C√[(1 - cosA)/sinA]
- D√[(1 + cosA)/sinA]
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CCommunity
Tan(A/2) = sin(A/2)/cos(A/2)
Multiply Numerator and Denominator by 2sin (A/2)
$(= \frac{{2\sin \frac{A}{2}\; \times \;\sin \frac{A}{2}}}{{2\sin \frac{A}{2}\; \times \;\cos \frac{A}{2}}} = \frac{{1 - cosA}}{{sinA}})$
∴ x = (1 – cosA)/sinA
Multiply Numerator and Denominator by 2sin (A/2)
$(= \frac{{2\sin \frac{A}{2}\; \times \;\sin \frac{A}{2}}}{{2\sin \frac{A}{2}\; \times \;\cos \frac{A}{2}}} = \frac{{1 - cosA}}{{sinA}})$
∴ x = (1 – cosA)/sinA