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Trigonometric Ratios of Half Angles

73.Prove that...

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73.Prove that in a triangle ABC, cosecA (sinBcosC +cosBsinC) is equals to 1.

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A, B, C

are the angles of a triangle, show that

sin B cos (C + A) + cos B sin (C + A) = 0

Δ

ABC, right angled at A, if

tan C

\sqrt{3}

, find the value of

sin B cos C + cos B sin C .

In a D ABC,right angled at A, if tan $C = \sqrt{3}$ , find the value of sin B cos C + cos B sin C.

Q. A, B, C are interior angles of triangle ABC. Prove that

c o s e c (\frac{A + B}{2}) = s e c \frac{C}{2}

\frac{1 + c o s e c A + cot A}{1 + c o s e c A - cot A} = \frac{c o s e c A + cot A - 1}{cot A - c o s e c A + 1}

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