1 I 4. Table for T-Ratios of some st an da rd an gle s : e sine cos 0 tan 8 0 I 0 I J3 I 30° - - J3 2 I I 45° J J I J3 I 60° /3 - 2 2 90° 1 0 not defined 5. T-Ratios of complementary angles : i) sin 90° - 8 = cos e iii) tan 90° - 8 =cote v) cosec 90° - 8 =sec 8 6. J = l · 414 or l ·41 J3 = I· 73 2 or 1 73 7. sin 8) 2 is \Vfitten as sin 2 e cosec e sec e not defined I ii) iv) vi) I 2 2 - /3 J J . 2 - 2 J3 I not defined cos 90° - 8) =sin 8 cot 90° - 8 =tan e • sec 90° - 8) = cosec 8 cot 8 not defined /3 1 1 /3 0 Similarly cos 8) 2 is \vrittcn as cos 2 8 and tan 8) 2 is \vritten as tan 2 8 and so on. EXEl ISE 2 2 A ) Q. 1. Look at the figures given belo\v : p q Sol. k u From these figures, write down the values of: i) sin x iii) sec x v) coty ii) tan x iv) cosy vi) cosec y vii) sin z viii) cos z ix) tan z . Perp. q i) Sill = = - Hyp. r Perp. q ii) tan x = = - Base p
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7/21/2019 Trigonometrical Ratios
http://slidepdf.com/reader/full/trigonometrical-ratios-56ef81259a470 1/1
1 I
Table for T-Ratios of some standard angles :
e
sine
cos 0 tan 8
0
I 0
I
J3
I
30°
-
-
J3
2
I
I
45°
J J
I
J3
I
60°
/3
-
2
2
90°
1
0
not defined
of complementary angles :
sin 90° -
8
= cos
e
tan 90° - 8
=cote
cosec 90° -
8
=sec 8
J
= l ·414 or l ·41
J3 = I·
73
2 or 1
73
sin
8)
2
is \Vfitten as sin
2
e
cosec e sec e
not defined I
ii)
iv)
•
vi)
I
2
2
-
/3
J J
. 2
-
2
J3
I
not defined
cos 90° -
8)
=sin
8
cot 90° - 8
=tan
e
•
sec 90° - 8) = cosec 8
cot 8
not defined
/3
1
1
/3
0
Similarly cos 8)
2
is \vrittcn as cos
2
8 and tan 8)
2
is \vritten
as
tan
2
8 and so on.
EXEl ISE
22 A)
1. Look at the figures given belo\v :
p
q
Sol.
k
u
From these figures, write down the values
of:
i)
sin x
iii) sec x
v) coty
ii) tan x
iv) cosy
vi) cosec y
vii) sin z viii) cos z
ix)
tan
z
. Perp. q
i)
Sill = = -
Hyp.
r
Perp.
q
ii) tan x = = -
Base
p
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