cos A and tan A Give your answers in simplest form i Label the sides of the triangle Opp Adj Hyp 1 For each of the following triangles write down sin A cos ID: 784277
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Slide1
Slide21.
For each of the following triangles, write down sin A,
cos
A and tan A. Give your answers in simplest form.
(i)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide31.
For each of the following triangles, write down sin A,
cos A and tan A.
Give your answers in simplest form.(ii)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide41.
For each of the following triangles, write down sin A,
cos A and tan A.
Give your answers in simplest form.(iii)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
6
6
·1
1
·1
A
Slide51.
For each of the following triangles, write down sin A,
cos
A and tan A. Give your answers in simplest form.
(iv)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide61.
For each of the following triangles, write down sin A,
cos A and tan A.
Give your answers in simplest form.(v)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide71.
For each of the following triangles, write down sin A,
cos A and tan A.
Give your answers in simplest form.(vi)
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide82.
Find the measure of the missing side, in the triangle shown.
Hence write down sin A,
cos A and tan A. Give your answers in simplest form.
O
2 + A2 = H2
O
2 + (5·5)2 = (7·3)2
O
2 + 30·25 = 53·29
O
2 = 23·04 O = 4·8
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide92.
Find the measure of the missing side, in the triangle shown.
Hence write down sin A, cos
A and tan A. Give your answers in simplest form.
(
Opp
)
(
Adj
)
(
Hyp
)
4·8
Slide103.
(
i) Use your calculator to find the value of tan
45˚. tan 45° = 1
Slide113.
(ii) Hence find |
PQ|
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(Hyp
)
Slide123.
(iii) Hence find |
PR| Give your answer in surd form.
|PR|
2 = 72 + 72
|
PR|2 = 49 + 49
|
PR|2 = 98
Slide134.
The diagram shows a right-angled triangle
ABC.
(i
)
|BC|2 + 42
= 52
|BC|2
+ 16 = 25
|BC|2 = 25 – 16
|BC|2 = 9
Find |BC|
Slide144.
The diagram shows a right-angled triangle
ABC.
(ii)
Write down sin
BAC, cos BAC
and tan
BAC
Label the sides of the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide154.
The diagram shows a right-angled triangle
ABC.
(iii)
Show that
Slide165.
A
is an angle, such that Without finding the angle
A, find sin A and tan A.
Step 1:
Find opposite side to angle A
3
2
+ (
opp
)2 = 5
2 9 + (opp)2 = 25
(opp)2 = 25 – 9
(
opp
)
2
= 16
(
opp
) = 4
Slide175.
A
is an angle, such that Without finding the angle
A, find sin A and tan A.
Step 2:
4
Slide186.
B
is an angle, such that sin
Without finding the angle B, find cos B and tan B.
12
2
+
x
2
= 37
2
144 + x2 = 1369
x2 = 1369 – 144
x2 = 1225 x = 35
Slide197.
θ
is an angle, such that
(
i)
Without finding the angle
θ, find sin θ and cos θ
H
= 2
Slide207.
θ
is an angle, such that
(ii)
Show that sin
2
A + cos2A = 1
sin
2 A + cos2
A
= (sin A)2 + (cos
A)2 sin
2 A + cos2 A = 1
Slide218.
Use the information given in the diagram to show that sin
+ cos > tan
5
3
4
sin
+
cos
tan
sin
+
cos
Label the sides of
the triangle:
(
Opp
)
(
Adj
)
(
Hyp
)
Slide229.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
|SR
|
|SR|2 = 3
2 + 62
= 9 + 36
= 45
(i)
P
5
3
S
Q
6
R
Slide239.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
|PQ
|
|PQ|2 + 3
2 = 52
|PQ|
2 + 9 = 25
|PQ|
2 = 25 – 9
(ii)
S
QP5
3
6
R
|
PQ
|
2
= 16
=
4
Slide249.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
(iii)
sin SRQ
Label the sides of
the triangle
(
Opp
)
(
Adj
)
(Hyp
)
4
Slide259.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
(iv)
tan SPQ
Label the sides of
the triangle
(
Opp
)
(
Adj
)
(
Hyp
)
4
Slide269.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
(v)
cos RSQ
Label the sides of
the triangle
(
Opp
)
(
Adj
)
(Hyp
)
4
Slide279.
The diagram shows two right angled triangles.
Find each of the following. Where appropriate, leave your answer in surd form.
(vi)
Investigate if ∆SPR is right angled.
Therefore, ∆SPR is not right-angled
.
4