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Earn +20 ptsQ: Determine the period of y equals -3 sin x?
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What is the range of y equals -3 sin x?
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
How do you prove this trigonometric relationship sin3A equals 3sinA cos 2 A - sin 3 A?
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)
What is the period of sin3x plus cos3x?
The period of sin + cos is 2*pi radians (360 degrees) so the period of sin(3x) + cos(3x) is 2*pi/3 radians.
How to determine all possible solutions to two decimal places for sin 3x equals negative sqrt 3 over two?
sin(3x) = -sqrt(3)/2 so 3x = 240 + k*360 degrees or 300 + k*360 degrees where k is any integer so that x is 80+120k or 100+120k degrees.
Determine the exact solutions for sin x plus sqrt 3 divided by two equals zero?
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