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)
tan
39°
=
cot
51°
b)
sec
22°
=
cosec
68°
c)
sin
57°
=
cos
57°
d)
cos
41°
=
sin
41°
e)
sin
31°
=
cos
59°
f)
sin
38°
=
cos
52°
g)
sin
59°
=
cos
31°
(i)
{a,b,e,f,g}
(ii)
{d,b}
(iii)
{c,d,e}
(iv)
{c,f,g}
(v)
{c,a}
Question
2
2.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cos
θ
b)
cot
(
90
−
θ
)
=
tan
θ
c)
cosec
(
90
−
θ
)
=
sec
θ
d)
cos
(
90
−
θ
)
=
cot
θ
e)
tan
(
90
−
θ
)
=
−
tan
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{a,b}
(ii)
{b,c,f}
(iii)
{d,c}
(iv)
{e,a,f}
(v)
{d,b,c}
Question
3
3.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
cos
θ
b)
cos
(
90
−
θ
)
=
−
cos
θ
c)
sin
(
90
−
θ
)
=
−
sin
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
tan
(
90
−
θ
)
=
cot
θ
f)
cos
(
90
−
θ
)
=
sin
θ
(i)
{b,c,e}
(ii)
{a,d,e,f}
(iii)
{b,f,a}
(iv)
{b,a}
(v)
{c,d}
Question
4
4.
Which of the following are true?
a)
cosec
(
90
+
θ
)
=
−
cosec
θ
b)
sec
(
90
+
θ
)
=
−
cosec
θ
c)
sec
(
90
+
θ
)
=
−
sec
θ
d)
cot
(
90
+
θ
)
=
−
tan
θ
e)
cosec
(
90
+
θ
)
=
sec
θ
f)
cot
(
90
+
θ
)
=
−
cot
θ
(i)
{a,b}
(ii)
{f,a,e}
(iii)
{c,d}
(iv)
{c,b,d}
(v)
{b,d,e}
Question
5
5.
Which of the following are true?
a)
cos
(
90
+
θ
)
=
−
sin
θ
b)
sin
(
90
+
θ
)
=
−
sin
θ
c)
tan
(
90
+
θ
)
=
−
tan
θ
d)
tan
(
90
+
θ
)
=
−
cot
θ
e)
cos
(
90
+
θ
)
=
−
cos
θ
f)
sin
(
90
+
θ
)
=
cos
θ
(i)
{a,d,f}
(ii)
{e,b,f}
(iii)
{c,a,d}
(iv)
{b,a}
(v)
{c,d}
Question
6
6.
Which of the following are true?
a)
tan
(
−
θ
)
=
tan
θ
b)
cos
(
−
θ
)
=
cos
θ
c)
sin
(
−
θ
)
=
sin
θ
d)
tan
(
−
θ
)
=
−
tan
θ
e)
sin
(
−
θ
)
=
−
sin
θ
f)
cos
(
−
θ
)
=
−
cos
θ
(i)
{f,a,e}
(ii)
{c,b,d}
(iii)
{a,b}
(iv)
{b,d,e}
(v)
{c,d}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
sec
θ
b)
cot
(
−
θ
)
=
−
cot
θ
c)
cot
(
−
θ
)
=
cot
θ
d)
sec
(
−
θ
)
=
−
sec
θ
e)
cosec
(
−
θ
)
=
cosec
θ
f)
cosec
(
−
θ
)
=
−
cosec
θ
(i)
{d,a,b}
(ii)
{e,c,f}
(iii)
{a,b,f}
(iv)
{d,b}
(v)
{c,a}
Question
8
8.
Which of the following are true?
a)
cos
(
180
+
θ
)
=
−
cos
θ
b)
sin
(
180
+
θ
)
=
−
sin
θ
c)
sin
(
180
+
θ
)
=
cos
θ
d)
tan
(
180
+
θ
)
=
cot
θ
e)
cos
(
180
+
θ
)
=
sin
θ
f)
tan
(
180
+
θ
)
=
tan
θ
(i)
{d,a,b}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,b}
(v)
{a,b,f}
Question
9
9.
Which of the following are true?
a)
sin
(
180
−
θ
)
=
cos
θ
b)
cos
(
180
−
θ
)
=
−
cos
θ
c)
sin
(
180
−
θ
)
=
sin
θ
d)
tan
(
180
−
θ
)
=
−
tan
θ
e)
cos
(
180
−
θ
)
=
−
sin
θ
f)
tan
(
180
−
θ
)
=
−
cot
θ
(i)
{e,b,c}
(ii)
{a,b}
(iii)
{f,a,d}
(iv)
{b,c,d}
(v)
{e,c}
Question
10
10.
Which of the following are true?
a)
cot
(
180
+
θ
)
=
cot
θ
b)
cosec
(
180
+
θ
)
=
−
cosec
θ
c)
cosec
(
180
+
θ
)
=
sec
θ
d)
cot
(
180
+
θ
)
=
tan
θ
e)
sec
(
180
+
θ
)
=
cosec
θ
f)
sec
(
180
+
θ
)
=
−
sec
θ
(i)
{a,b,f}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,b}
(v)
{d,a,b}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
cot
θ
b)
sec
(
180
−
θ
)
=
−
cosec
θ
c)
cosec
(
180
−
θ
)
=
sec
θ
d)
cosec
(
180
−
θ
)
=
cosec
θ
e)
sec
(
180
−
θ
)
=
−
sec
θ
f)
cot
(
180
−
θ
)
=
−
tan
θ
(i)
{a,d,e}
(ii)
{c,a,d}
(iii)
{b,a}
(iv)
{c,d}
(v)
{f,b,e}
Question
12
12.
Which of the following are true?
a)
tan
(
270
+
θ
)
=
−
tan
θ
b)
sin
(
270
+
θ
)
=
−
sin
θ
c)
tan
(
270
+
θ
)
=
−
cot
θ
d)
cos
(
270
+
θ
)
=
cos
θ
e)
cos
(
270
+
θ
)
=
sin
θ
f)
sin
(
270
+
θ
)
=
−
cos
θ
(i)
{b,e}
(ii)
{b,c,e}
(iii)
{d,a,f}
(iv)
{a,c}
(v)
{c,e,f}
Question
13
13.
Which of the following are true?
a)
tan
(
270
−
θ
)
=
tan
θ
b)
cos
(
270
−
θ
)
=
−
sin
θ
c)
cos
(
270
−
θ
)
=
−
cos
θ
d)
tan
(
270
−
θ
)
=
cot
θ
e)
sin
(
270
−
θ
)
=
−
sin
θ
f)
sin
(
270
−
θ
)
=
−
cos
θ
(i)
{e,a,f}
(ii)
{c,b,d}
(iii)
{a,b}
(iv)
{c,d}
(v)
{b,d,f}
Question
14
14.
Which of the following are true?
a)
cosec
(
270
+
θ
)
=
−
sec
θ
b)
cot
(
270
+
θ
)
=
−
cot
θ
c)
sec
(
270
+
θ
)
=
sec
θ
d)
cosec
(
270
+
θ
)
=
−
cosec
θ
e)
cot
(
270
+
θ
)
=
−
tan
θ
f)
sec
(
270
+
θ
)
=
cosec
θ
(i)
{c,a,e}
(ii)
{b,a}
(iii)
{c,e}
(iv)
{a,e,f}
(v)
{d,b,f}
Question
15
15.
Which of the following are true?
a)
cosec
(
270
−
θ
)
=
−
cosec
θ
b)
sec
(
270
−
θ
)
=
−
cosec
θ
c)
sec
(
270
−
θ
)
=
−
sec
θ
d)
cosec
(
270
−
θ
)
=
−
sec
θ
e)
cot
(
270
−
θ
)
=
cot
θ
f)
cot
(
270
−
θ
)
=
tan
θ
(i)
{b,d,f}
(ii)
{a,b}
(iii)
{c,b,d}
(iv)
{c,d}
(v)
{e,a,f}
Question
16
16.
Which of the following are true?
a)
sin
(
360
+
θ
)
=
cos
θ
b)
tan
(
360
+
θ
)
=
cot
θ
c)
sin
(
360
+
θ
)
=
sin
θ
d)
cos
(
360
+
θ
)
=
cos
θ
e)
cos
(
360
+
θ
)
=
sin
θ
f)
tan
(
360
+
θ
)
=
tan
θ
(i)
{a,c}
(ii)
{c,d,f}
(iii)
{e,a,f}
(iv)
{b,d}
(v)
{b,c,d}
Question
17
17.
Which of the following are true?
a)
sin
(
360
−
θ
)
=
−
cos
θ
b)
tan
(
360
−
θ
)
=
−
tan
θ
c)
cos
(
360
−
θ
)
=
cos
θ
d)
cos
(
360
−
θ
)
=
sin
θ
e)
tan
(
360
−
θ
)
=
−
cot
θ
f)
sin
(
360
−
θ
)
=
−
sin
θ
(i)
{d,b,c}
(ii)
{e,a,f}
(iii)
{a,b}
(iv)
{d,c}
(v)
{b,c,f}
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (v)
5) (i)
6) (iv)
7) (iii)
8) (v)
9) (iv)
10) (i)
11) (i)
12) (v)
13) (v)
14) (iv)
15) (i)
16) (ii)
17) (v)
