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question 1 a)sketch the graph of...

question 1

a)sketch the graph of y=5sin(3x+pie/2), 0<x<2pie, showing all the intercepts with the axes

b) find all the values of theta, 0<theta<2pie, for which cos(squared) theta =1/4

c)find to four decimal places all the values of theta, 0degrees<theta<360degrees, for which cos theta =-2/5

d) convert the answers in 2c to degrees, minutes, seconds, to the nearest second

question 2

a) use the pythagorean identity sin(squared)t+cos(squared)t=1 to show that tan(squared)t= sec(squared)t-1

b) use the sum or difference formulas to find the exact value for cos pie/12

c) a vector force of 112 newton acts in a direction inclined at 48degrees to the vertical. find the magnitude of the components in the horizontal and vertical directions

d) two two-dimensional vectors are v1= and v2=. find the anglebetween them in degrees

a)sketch the graph of y=5sin(3x+pie/2), 0<x<2pie, showing all the intercepts with the axes

b) find all the values of theta, 0<theta<2pie, for which cos(squared) theta =1/4

c)find to four decimal places all the values of theta, 0degrees<theta<360degrees, for which cos theta =-2/5

d) convert the answers in 2c to degrees, minutes, seconds, to the nearest second

question 2

a) use the pythagorean identity sin(squared)t+cos(squared)t=1 to show that tan(squared)t= sec(squared)t-1

b) use the sum or difference formulas to find the exact value for cos pie/12

c) a vector force of 112 newton acts in a direction inclined at 48degrees to the vertical. find the magnitude of the components in the horizontal and vertical directions

d) two two-dimensional vectors are v1= and v2=. find the anglebetween them in degrees

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