Btec: Sin Cos Addition Formula

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Difficult

Q1) Using the double angle formula calculate sin(25 + 20). Show working.
Q1) Given that t=16.25 and h = 37.5 Using the double angle formula calculate sin(2t + 3h). Show working.
Q1) Write in the form \(RSin(5x+\alpha)\) , y=5sin(5x)+9cos(5x)
Q2) Using the double angle formula calculate sin(30 + 45). Show working.
Q2) Given that t=2.5 and h = 25 Using the double angle formula calculate sin(5t + 3h). Show working.
Q2) Write in the form \(RSin(4x+\alpha)\) , y=8sin(4x)+3cos(4x)
Q3) Using Double angle formula calculate sin(50 - 25). Show working.
Q3) Given that t=1.25 and h = 13.75 Using the double angle formula calculate sin(5t + 4h). Show working.
Q3) Write in the form \(RCos(4x-\alpha)\) , y= 8sin(4x)+4cos(4x)
Q4) Using Double angle formula calculate cos(30 - 5). Show working.
Q4) Given that t=48.75 and h = 8.75 Using the double angle formula calculate sin(2t + 6h). Show working.
Q4) Write in the form \(RSin(3x+\alpha)\) , y=7sin(3x)+cos(3x)
Q5) Using the double angle formula calculate sin(35 + 20). Show working.
Q5) Given that t=5 and h = 16.25 Using the double angle formula calculate sin(5t + 4h). Show working.
Q5) Write in the form \(RCos(5x-\alpha)\) , y= 7sin(5x)+10cos(5x)