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Official 2022 Paper 2 · Q18

Paper 2Trigonometry

P, Q, R and S show the graphs of

y=(cos⁡x)cos⁡x,y=(sin⁡x)sin⁡x,y=(cos⁡x)sin⁡xandy=(sin⁡x)cos⁡xy=(\cos x)^{\cos x},\quad y=(\sin x)^{\sin x},\quad y=(\cos x)^{\sin x}\quad\text{and}\quad y=(\sin x)^{\cos x}

for 0<x<π20<x<\dfrac\pi2 in some order. Diagram for question 18 Which row in the following table correctly identifies the graphs?

y=(cos⁡x)cos⁡xy=(\cos x)^{\cos x} y=(sin⁡x)sin⁡xy=(\sin x)^{\sin x} y=(cos⁡x)sin⁡xy=(\cos x)^{\sin x} y=(sin⁡x)cos⁡xy=(\sin x)^{\cos x}
A P Q R S
B P Q S R
C Q P R S
D Q P S R
E R S P Q
F R S Q P
G S R P Q
H S R Q P
ABCDEFGH

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