myelacolumbus5481
Answered

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Please help complete the statement

Please Help Complete The Statement class=

Sagot :

Answer:

sin2θ = - [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

Given

cosθ = [tex]\frac{3}{5}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex] and in fourth quadrant

Then this is a 3- 4- 5 triangle with opposite side = 4

sinθ < 0 in fourth quadrant, then

sinθ = - [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{4}{5}[/tex]

Using the double angle identity for sine

sin2θ = 2sinθcosθ

          = 2 × - [tex]\frac{4}{5}[/tex] × [tex]\frac{3}{5}[/tex] = - [tex]\frac{24}{25}[/tex]

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