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if cosθ=3/4 with 0<θ<π/2, then determine the exact value of sin(π+θ)

 Jan 16, 2017
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cosθ = 3/4.....

 

sinθ  =  √[1 - (3/4)^2 ]  =√[ 1 - 9/16] = √ [7] / 4

 

sin( pi + θ) =   sin(pi)cosθ  + cos pi sin θ  =  0 +  ( - √ [7] / 4 )  =  - √ [7] / 4

 

 

 

cool cool cool

 Jan 16, 2017

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