I will use x for theta. Sin x = - 0.2 x = sin^-1 (- zero.2) x = - eleven.Fifty four this can be a root, however it's not in the required interval. The period of sin is 360. So, u can add or subtract 360 in the above root. So, - eleven.54 + 360 = 348.Forty six (within the required interval) - eleven .Fifty four - 360 = - 371.54 (now not in the required interval) also, u can use the inspiration: sin (a hundred and eighty - x) = sin x So, subtracting the above roots from one hundred eighty will supply different roots. - eleven.54 - a hundred and eighty = - 191.Fifty four (not in the required interval) 348.Forty six - 180 = 168.46 (within the required interval) - 371.Fifty four - a hundred and eighty = - 551.54 (now not in the required interval) So the only roots within the required interval are: 348.Forty six and 168.46 So, smaller price = 168.46 better worth = 348.Forty six
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cos²Ө = 1/4
cos Ө = ± 1/2
Ө = 𝛑/6 , 5𝛑/6 , 7𝛑/6 , 11𝛑/6 ______is a more accurate and normal format
I will use x for theta. Sin x = - 0.2 x = sin^-1 (- zero.2) x = - eleven.Fifty four this can be a root, however it's not in the required interval. The period of sin is 360. So, u can add or subtract 360 in the above root. So, - eleven.54 + 360 = 348.Forty six (within the required interval) - eleven .Fifty four - 360 = - 371.54 (now not in the required interval) also, u can use the inspiration: sin (a hundred and eighty - x) = sin x So, subtracting the above roots from one hundred eighty will supply different roots. - eleven.54 - a hundred and eighty = - 191.Fifty four (not in the required interval) 348.Forty six - 180 = 168.46 (within the required interval) - 371.Fifty four - a hundred and eighty = - 551.54 (now not in the required interval) So the only roots within the required interval are: 348.Forty six and 168.46 So, smaller price = 168.46 better worth = 348.Forty six