ICSE Class 10 Answered

If a = (b - c) sec 0, prove that tan theta = (2sqrt(bc))/(b - c) * sin(A/2)

Asked by shaikfarooq07861 | 24 May, 2024, 11:59: AM

Expert Answer

In above expressions, a, b and c are sides of triangle .

By cosine rule, we have , a² = b² + c² - 2bc cosA

Hence , we get, b² + c² = a² + 2 b c cosA

If we substitute ( b² + c² ) in the expression for tan²θ and after simplification, we get

Answered by Thiyagarajan K | 24 May, 2024, 22:56: PM

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