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Daniel J Smith Custom TMUA Set A Paper 1 · Q18

Paper 1TrigonometryAlgebra

How many solutions are there to the equation

2sin⁡x=∣cos⁡x∣2\sin x=|\cos x|

for 0∘≤x<360∘0^\circ\leq x<360^\circ, and what is the sum of all the solutions?

ANumber of solutions =2=2, Sum of solutions =180∘=180^\circ
BNumber of solutions =2=2, Sum of solutions =360∘=360^\circ
CNumber of solutions =2=2, Sum of solutions =720∘=720^\circ
DNumber of solutions =4=4, Sum of solutions =360∘=360^\circ
ENumber of solutions =4=4, Sum of solutions =540∘=540^\circ
FNumber of solutions =4=4, Sum of solutions =720∘=720^\circ
GNumber of solutions =6=6, Sum of solutions =900∘=900^\circ
HNumber of solutions =8=8, Sum of solutions =1440∘=1440^\circ

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