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sheccidmariscal9428
17.05.2021 •
Mathematics
How did the nation respond to Lincoln’s assassination? How do you think Lincoln’s assassination will impact the Reconstruction era (the rebuilding of America after the Civil War)? Your response should be at least 5 complete sentences long
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Ответ:
4√2/7
Step-by-step explanation:
Suppose cos(x)=-1/3, where pi/2≤x≤ pi
tan(2x) = sin(2x)/cos(2x)
Since sin2x = 2sinx cosx
cos 2x = 2cos²x-1
Substitute
tan(2x) = 2sinx cosx/ 2cos²x-1
Given cosx = -1/3
adjacent = -1
hyp = 3
opp = √3²-(-1)²
opp = √9-1
opp = √8
sinx = opp/hyp
sinx = √8/3
tan(2x) = 2sinx cosx/ 2cos²x-1
tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1
tan2x= (-2√8/9 )÷ (2/9 - 1)
tan2x = -4√2/9 * 9/-7
tan 2x = 4√2/7