Question

2
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S കർമ നി
Similarly, draw two more right triangles, say ABC and RST, right angled at B and Srespectively and
with dimensions different from those of triangle DEF as shown in fig. 2
10
T
S.
To know the fundamental identity:
Sin 0 + Cos'e = 1
B
3
4
Pre-requisite Knowledge
Concept of right triangle
• Concept of trigonometric ratio 0 s, particularly
Per
Base
Sino =
Cose =
Hyp
Hyp
Fig. 10.2
Mark the acute angles C and T on the base BC and ST respectively of triangles ABC and RST as
Using a scale measure the lengths of the side of these three triangles and record your observations in
the table given below.
Sin e + Cose
Sino
S.No.
Nam ol the A
DEL
Length of the sides
and
DE 3 EF _4
DF 5 DF 5
= 1
DEF
DE (Perp ) = 3 cm
EF (base ) = 4 cm
DF (hyp) = 5 cm
1.
Materials Mequired
A drawing sheet
A pencil
A geometry box
cm
AB
BC
AC
+_'-
cm
AB (Perp ) =
BC (base)
AC (hyp)
AC
Sketch pens
2
ABC
cm
Il
cm
Procedure
RS (Perp)
ST (base)
RT (hyp)
RS
RT
ST
RT
cm
RST
3.
cm
1.
DE =3 cm and hypotenuse DF = 5 cm, as shown in Fig.10.1 mark the acute angle F on its base as 6.
You may repeat this activity for some more right triangles with different dimensions.
Obcarpadors
3 cm
5 cm
When, draw the table, we observe that value of sino + Cos'O in case of each of the triangles DEF, AI
and RST, comes out to be 1
E
Rosult
4 cm
Fig. 10.1
From above observation, it is verified that sino + cos 0 = 1
Matematies La Vanual-X/ 36
Mathematics Lab ManualX 31-
On a drawing sheet, draws a right triangle DEF, right angled at E, such that its Base EF = 4 cm, side​

Answer 1

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