EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
sin
27°
=
cos
63°
b)
cos
54°
=
sin
54°
c)
sin
59°
=
cos
31°
d)
sin
48°
=
cos
42°
e)
sec
39°
=
cosec
51°
f)
sin
25°
=
cos
25°
g)
tan
29°
=
cot
61°
(i)
{f,c}
(ii)
{b,e,g}
(iii)
{b,a}
(iv)
{a,c,d,e,g}
(v)
{b,f,d}
Question
2
2.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cos
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
cos
(
90
−
θ
)
=
cot
θ
d)
cosec
(
90
−
θ
)
=
sec
θ
e)
cot
(
90
−
θ
)
=
tan
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{d,e,f}
(ii)
{c,a,f}
(iii)
{a,d}
(iv)
{b,d,e}
(v)
{b,e}
Question
3
3.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
−
cos
θ
b)
cot
(
90
−
θ
)
=
tan
θ
c)
tan
(
90
−
θ
)
=
cot
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
sin
(
90
−
θ
)
=
cos
θ
f)
sin
(
90
−
θ
)
=
−
sin
θ
(i)
{a,f,d}
(ii)
{a,b}
(iii)
{b,c,d,e}
(iv)
{f,c}
(v)
{a,e,b}
Question
4
4.
Which of the following are true?
a)
cosec
(
90
+
θ
)
=
−
cosec
θ
b)
cosec
(
90
+
θ
)
=
sec
θ
c)
cot
(
90
+
θ
)
=
−
cot
θ
d)
sec
(
90
+
θ
)
=
−
sec
θ
e)
sec
(
90
+
θ
)
=
−
cosec
θ
f)
cot
(
90
+
θ
)
=
−
tan
θ
(i)
{d,a,f}
(ii)
{c,e}
(iii)
{a,b}
(iv)
{c,b,e}
(v)
{b,e,f}
Question
5
5.
Which of the following are true?
a)
tan
(
90
+
θ
)
=
−
cot
θ
b)
sin
(
90
+
θ
)
=
cos
θ
c)
tan
(
90
+
θ
)
=
−
tan
θ
d)
sin
(
90
+
θ
)
=
−
sin
θ
e)
cos
(
90
+
θ
)
=
−
cos
θ
f)
cos
(
90
+
θ
)
=
−
sin
θ
(i)
{e,c,f}
(ii)
{d,a,b}
(iii)
{c,a}
(iv)
{a,b,f}
(v)
{d,b}
Question
6
6.
Which of the following are true?
a)
sin
(
−
θ
)
=
−
sin
θ
b)
cos
(
−
θ
)
=
cos
θ
c)
tan
(
−
θ
)
=
tan
θ
d)
cos
(
−
θ
)
=
−
cos
θ
e)
tan
(
−
θ
)
=
−
tan
θ
f)
sin
(
−
θ
)
=
sin
θ
(i)
{d,b}
(ii)
{c,a}
(iii)
{d,a,b}
(iv)
{a,b,e}
(v)
{f,c,e}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
−
sec
θ
b)
cosec
(
−
θ
)
=
cosec
θ
c)
cosec
(
−
θ
)
=
−
cosec
θ
d)
cot
(
−
θ
)
=
cot
θ
e)
sec
(
−
θ
)
=
sec
θ
f)
cot
(
−
θ
)
=
−
cot
θ
(i)
{d,a,f}
(ii)
{a,c}
(iii)
{c,e,f}
(iv)
{b,e}
(v)
{b,c,e}
Question
8
8.
Which of the following are true?
a)
cos
(
180
+
θ
)
=
sin
θ
b)
tan
(
180
+
θ
)
=
cot
θ
c)
sin
(
180
+
θ
)
=
−
sin
θ
d)
sin
(
180
+
θ
)
=
cos
θ
e)
cos
(
180
+
θ
)
=
−
cos
θ
f)
tan
(
180
+
θ
)
=
tan
θ
(i)
{a,c}
(ii)
{c,e,f}
(iii)
{b,c,e}
(iv)
{b,e}
(v)
{d,a,f}
Question
9
9.
Which of the following are true?
a)
tan
(
180
−
θ
)
=
−
cot
θ
b)
sin
(
180
−
θ
)
=
sin
θ
c)
tan
(
180
−
θ
)
=
−
tan
θ
d)
cos
(
180
−
θ
)
=
−
cos
θ
e)
sin
(
180
−
θ
)
=
cos
θ
f)
cos
(
180
−
θ
)
=
−
sin
θ
(i)
{f,a,d}
(ii)
{b,c,d}
(iii)
{a,b}
(iv)
{e,b,c}
(v)
{e,c}
Question
10
10.
Which of the following are true?
a)
sec
(
180
+
θ
)
=
−
sec
θ
b)
cot
(
180
+
θ
)
=
tan
θ
c)
cot
(
180
+
θ
)
=
cot
θ
d)
cosec
(
180
+
θ
)
=
−
cosec
θ
e)
sec
(
180
+
θ
)
=
cosec
θ
f)
cosec
(
180
+
θ
)
=
sec
θ
(i)
{e,c}
(ii)
{a,c,d}
(iii)
{b,a}
(iv)
{e,a,c}
(v)
{f,b,d}
Question
11
11.
Which of the following are true?
a)
cosec
(
180
−
θ
)
=
cosec
θ
b)
cosec
(
180
−
θ
)
=
sec
θ
c)
cot
(
180
−
θ
)
=
−
cot
θ
d)
sec
(
180
−
θ
)
=
−
sec
θ
e)
sec
(
180
−
θ
)
=
−
cosec
θ
f)
cot
(
180
−
θ
)
=
−
tan
θ
(i)
{e,c}
(ii)
{e,a,c}
(iii)
{f,b,d}
(iv)
{a,c,d}
(v)
{b,a}
Question
12
12.
Which of the following are true?
a)
cos
(
270
+
θ
)
=
cos
θ
b)
cos
(
270
+
θ
)
=
sin
θ
c)
sin
(
270
+
θ
)
=
−
cos
θ
d)
tan
(
270
+
θ
)
=
−
cot
θ
e)
tan
(
270
+
θ
)
=
−
tan
θ
f)
sin
(
270
+
θ
)
=
−
sin
θ
(i)
{f,a,d}
(ii)
{e,b,c}
(iii)
{a,b}
(iv)
{e,c}
(v)
{b,c,d}
Question
13
13.
Which of the following are true?
a)
tan
(
270
−
θ
)
=
cot
θ
b)
sin
(
270
−
θ
)
=
−
cos
θ
c)
sin
(
270
−
θ
)
=
−
sin
θ
d)
tan
(
270
−
θ
)
=
tan
θ
e)
cos
(
270
−
θ
)
=
−
sin
θ
f)
cos
(
270
−
θ
)
=
−
cos
θ
(i)
{a,b,e}
(ii)
{f,c,e}
(iii)
{c,a}
(iv)
{d,b}
(v)
{d,a,b}
Question
14
14.
Which of the following are true?
a)
cot
(
270
+
θ
)
=
−
tan
θ
b)
sec
(
270
+
θ
)
=
sec
θ
c)
cot
(
270
+
θ
)
=
−
cot
θ
d)
cosec
(
270
+
θ
)
=
−
cosec
θ
e)
cosec
(
270
+
θ
)
=
−
sec
θ
f)
sec
(
270
+
θ
)
=
cosec
θ
(i)
{c,e}
(ii)
{b,a}
(iii)
{c,a,e}
(iv)
{a,e,f}
(v)
{d,b,f}
Question
15
15.
Which of the following are true?
a)
sec
(
270
−
θ
)
=
−
sec
θ
b)
cot
(
270
−
θ
)
=
tan
θ
c)
cosec
(
270
−
θ
)
=
−
sec
θ
d)
cosec
(
270
−
θ
)
=
−
cosec
θ
e)
cot
(
270
−
θ
)
=
cot
θ
f)
sec
(
270
−
θ
)
=
−
cosec
θ
(i)
{d,c}
(ii)
{e,a,f}
(iii)
{a,b}
(iv)
{b,c,f}
(v)
{d,b,c}
Question
16
16.
Which of the following are true?
a)
cos
(
360
+
θ
)
=
sin
θ
b)
tan
(
360
+
θ
)
=
cot
θ
c)
sin
(
360
+
θ
)
=
sin
θ
d)
tan
(
360
+
θ
)
=
tan
θ
e)
cos
(
360
+
θ
)
=
cos
θ
f)
sin
(
360
+
θ
)
=
cos
θ
(i)
{f,a,e}
(ii)
{b,c,d}
(iii)
{c,d,e}
(iv)
{b,d}
(v)
{a,c}
Question
17
17.
Which of the following are true?
a)
cos
(
360
−
θ
)
=
cos
θ
b)
tan
(
360
−
θ
)
=
−
cot
θ
c)
tan
(
360
−
θ
)
=
−
tan
θ
d)
sin
(
360
−
θ
)
=
−
sin
θ
e)
cos
(
360
−
θ
)
=
sin
θ
f)
sin
(
360
−
θ
)
=
−
cos
θ
(i)
{f,b,d}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{a,c,d}
(v)
{e,a,c}
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (v)
5) (iv)
6) (iv)
7) (iii)
8) (ii)
9) (ii)
10) (ii)
11) (iv)
12) (v)
13) (i)
14) (iv)
15) (iv)
16) (iii)
17) (iv)
