If cos- 1-cos- 2-cos- 3-3- find sin- 1-sin- 2-sin- 3-

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If cosΘ 1+c...

Question

If $cos Θ_{1} + cos Θ_{2} + cos Θ_{3} = 3,$ find $sin Θ_{1} + sin Θ_{2} + sin Θ_{3} .$

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If $sin θ_{1} + sin θ_{2} + sin θ_{3} = 3$ , then $cos θ_{1} + cos θ_{2} + cos θ_{3} =$ .

sin θ_{1} + sin θ_{2} + sin θ_{3} = 3

cos θ_{1} + cos θ_{2} + cos θ_{3}

c o s θ_{1} + c o s θ_{2} + c o s θ_{3} = 0

s i n θ_{1} + s i n θ_{2} + s i n θ_{3} = 0.

c o s (θ_{1} - θ_{2}) + c o s (θ_{2} - θ_{3}) + c o s (θ_{3} - θ_{1}) = \frac{- 3}{2}

Δ

A (a c o s θ_{1}, a s i n θ_{1}), B (a c o s θ_{2}, a s i n θ_{2})

C (a c o s θ_{3}, a s i n θ_{3})

A (x_{1}, x_{1} tan θ_{1})

B (x_{2}, x_{2} tan θ_{2})

C (x_{3}, x_{3} tan θ_{3})

H (¯ ¯ ¯ x, ¯ ¯ ¯ y)

\frac{¯ ¯ ¯ x}{¯ ¯ ¯ y} = \frac{cos θ_{1} + cos θ_{2} + cos θ_{3}}{sin θ_{1} + sin θ_{2} + sin θ_{3}}

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