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skelet666 [1.2K]
3 years ago
6

40 = 90^2/16 sinx cosx find x

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

<h2>x = 4.545</h2>

Step-by-step explanation:

Given the expression

40=\frac{90^2}{16}  sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 =  90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\

Hence, \ \frac{640}{8100} = \frac{sin2x}{2}  \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545

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