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Maths — Pure Mathematics 1
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Slices of
π
\pi
- teacher support
Slices of
π
\pi
- teacher support
Resource in action
Developing
3.1
3.3
© University of Cambridge (Underground Mathematics); © UCLES / Oxford MAT / NRICH for sourced exam questions
. Source: undergroundmathematics.org.
Slices of
π
\pi
π
- teacher support
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Catching waves
From stars to waves
Have a sine
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Muddled trig
When is
sin
x
\sin x
or
sin
2
x
\sin 2x
larger than a half?
How are these three angles connected?
If
sin
X
\sin X
and
cos
Y
\cos Y
are both negative, what can we say about
X
+
Y
X + Y
?
Which of these log and trig expressions is the largest?
Which points in the
x
x
-
y
y
plane satisfy
sin
y
=
sin
x
\sin y=\sin x
?
What's the result when we reflect
y
=
sin
x
y=\sin x
twice?
Can we approximate the area under this sine curve?
Are any of these four trig expressions equal to each other?
How many solutions does
cos
(
sin
x
)
=
1
2
\cos (\sin x)=\frac{1}{2}
have?
When is
sin
θ
>
sin
3
θ
\sin\theta > \sin 3\theta
?
Slices of
π
\pi
Trig tables
How many solutions does
sin
2
x
+
3
sin
x
cos
x
+
2
cos
2
x
=
0
\sin^2x+3\sin x\cos x+2\cos^2 x=0
have?
General solutions
Can we prove this trig identity to solve this equation?
How many solutions does this equation involving
sin
8
x
\sin^8x
have?
How many solutions does
2
cos
2
x
+
5
sin
x
=
4
2 \cos^2x + 5\sin x = 4
have?
How many solutions does
7
sin
x
+
2
cos
2
x
=
5
7\sin x +2\cos ^2 x =5
have?
Going round in circles
Big trig
Calculating latitude
Can you find... trigonometry edition
Can you find...trigonometry edition - teacher support
Catching waves
From stars to waves
Have a sine
How high am I?
Muddled trig
When is
sin
x
\sin x
or
sin
2
x
\sin 2x
larger than a half?
How are these three angles connected?
If
sin
X
\sin X
and
cos
Y
\cos Y
are both negative, what can we say about
X
+
Y
X + Y
?
Which of these log and trig expressions is the largest?
Which points in the
x
x
-
y
y
plane satisfy
sin
y
=
sin
x
\sin y=\sin x
?
What's the result when we reflect
y
=
sin
x
y=\sin x
twice?
Can we approximate the area under this sine curve?
Are any of these four trig expressions equal to each other?
How many solutions does
cos
(
sin
x
)
=
1
2
\cos (\sin x)=\frac{1}{2}
have?
When is
sin
θ
>
sin
3
θ
\sin\theta > \sin 3\theta
?
Slices of
π
\pi
Trig tables