TMUA 2022 Paper 2 Q18 — Worked Solution

P2·Functions, Transformations & Graphs, Trigonometry·7.0Official · 2022 · Q18

graph-identificationendpoint-valuesexponent-functions

P

Q

R

and

S

show the graphs of

y = (cos x)^{c o s x}, y = (sin x)^{s i n x}, y = (cos x)^{s i n x} and y = (sin x)^{c o s x}

for

0 < x < \frac{π}{2}

in some order.

Which row in the following table correctly identifies the graphs?

	$(cos x)^{c o s x}$	$(sin x)^{s i n x}$	$(cos x)^{s i n x}$	$(sin x)^{c o s x}$
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

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