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5) Use a calculator and find to 4 decimal places the value of the trigonometric function using the given identity.
2u = 64° , cos 2u = 1 -2 sin ^2 u
a.) 0.0792

b.) 0.3327

c.) 0.9992

d.) 0.5629

e.) 0.4384

Respuesta :

Answer:

cos(2u) = 1 - 2[tex]sin^{2}[/tex](32°) = 1 - (2[tex]\times[/tex]0.281 )  =   1  -  0.5616  = 0.4384

Hence the correct option is E.) 0.4384

Step-by-step explanation:

i) 2u = 64°

ii) u = 32°

iii) sin(32°) = 0.53

iv) [tex]sin^{2}[/tex](32°) = [tex](0.53)^{2}[/tex]  =  0.2808

v) cos(2u) = 1 - 2[tex]sin^{2}[/tex](32°) = 1 - (2[tex]\times[/tex]0.2808 )  =   1  -  0.5616  = 0.4384

Hence the correct option is E.) 0.4384

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