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)
sin
34°
=
cos
56°
c)
sec
59°
=
cosec
31°
d)
sin
51°
=
cos
39°
e)
tan
48°
=
cot
42°
f)
sin
58°
=
cos
58°
g)
cos
37°
=
sin
37°
(i)
{a,b,c,d,e}
(ii)
{f,g,c}
(iii)
{f,a}
(iv)
{g,b}
(v)
{f,d,e}
Question
2
2.
Which of the following are true?
a)
cosec
(
90
−
θ
)
=
sec
θ
b)
cot
(
90
−
θ
)
=
tan
θ
c)
tan
(
90
−
θ
)
=
−
tan
θ
d)
sec
(
90
−
θ
)
=
cosec
θ
e)
cos
(
90
−
θ
)
=
cos
θ
f)
cos
(
90
−
θ
)
=
cot
θ
(i)
{a,b,d}
(ii)
{e,a,b}
(iii)
{f,c,d}
(iv)
{c,a}
(v)
{e,b}
Question
3
3.
Which of the following are true?
a)
cot
(
90
−
θ
)
=
tan
θ
b)
sin
(
90
−
θ
)
=
−
sin
θ
c)
cos
(
90
−
θ
)
=
sin
θ
d)
tan
(
90
−
θ
)
=
cot
θ
e)
cos
(
90
−
θ
)
=
−
cos
θ
f)
sin
(
90
−
θ
)
=
cos
θ
(i)
{e,c}
(ii)
{a,c,d,f}
(iii)
{b,a}
(iv)
{b,f,a}
(v)
{b,e,d}
Question
4
4.
Which of the following are true?
a)
cosec
(
90
+
θ
)
=
sec
θ
b)
sec
(
90
+
θ
)
=
−
sec
θ
c)
cot
(
90
+
θ
)
=
−
tan
θ
d)
cot
(
90
+
θ
)
=
−
cot
θ
e)
cosec
(
90
+
θ
)
=
−
cosec
θ
f)
sec
(
90
+
θ
)
=
−
cosec
θ
(i)
{e,b,f}
(ii)
{d,c}
(iii)
{a,c,f}
(iv)
{d,a,c}
(v)
{b,a}
Question
5
5.
Which of the following are true?
a)
tan
(
90
+
θ
)
=
−
tan
θ
b)
cos
(
90
+
θ
)
=
−
sin
θ
c)
cos
(
90
+
θ
)
=
−
cos
θ
d)
sin
(
90
+
θ
)
=
−
sin
θ
e)
sin
(
90
+
θ
)
=
cos
θ
f)
tan
(
90
+
θ
)
=
−
cot
θ
(i)
{a,b}
(ii)
{c,b,e}
(iii)
{d,a,f}
(iv)
{c,e}
(v)
{b,e,f}
Question
6
6.
Which of the following are true?
a)
cos
(
−
θ
)
=
cos
θ
b)
sin
(
−
θ
)
=
−
sin
θ
c)
tan
(
−
θ
)
=
tan
θ
d)
tan
(
−
θ
)
=
−
tan
θ
e)
sin
(
−
θ
)
=
sin
θ
f)
cos
(
−
θ
)
=
−
cos
θ
(i)
{e,a,b}
(ii)
{c,a}
(iii)
{e,b}
(iv)
{a,b,d}
(v)
{f,c,d}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
sec
θ
b)
cot
(
−
θ
)
=
cot
θ
c)
cosec
(
−
θ
)
=
−
cosec
θ
d)
cot
(
−
θ
)
=
−
cot
θ
e)
cosec
(
−
θ
)
=
cosec
θ
f)
sec
(
−
θ
)
=
−
sec
θ
(i)
{f,b,d}
(ii)
{e,c}
(iii)
{e,a,c}
(iv)
{b,a}
(v)
{a,c,d}
Question
8
8.
Which of the following are true?
a)
sin
(
180
+
θ
)
=
−
sin
θ
b)
tan
(
180
+
θ
)
=
tan
θ
c)
tan
(
180
+
θ
)
=
cot
θ
d)
sin
(
180
+
θ
)
=
cos
θ
e)
cos
(
180
+
θ
)
=
−
cos
θ
f)
cos
(
180
+
θ
)
=
sin
θ
(i)
{d,a,b}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{f,c,e}
(v)
{a,b,e}
Question
9
9.
Which of the following are true?
a)
cos
(
180
−
θ
)
=
−
cos
θ
b)
tan
(
180
−
θ
)
=
−
tan
θ
c)
tan
(
180
−
θ
)
=
−
cot
θ
d)
cos
(
180
−
θ
)
=
−
sin
θ
e)
sin
(
180
−
θ
)
=
cos
θ
f)
sin
(
180
−
θ
)
=
sin
θ
(i)
{a,b,f}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,b}
(v)
{d,a,b}
Question
10
10.
Which of the following are true?
a)
sec
(
180
+
θ
)
=
cosec
θ
b)
cosec
(
180
+
θ
)
=
sec
θ
c)
cot
(
180
+
θ
)
=
cot
θ
d)
cosec
(
180
+
θ
)
=
−
cosec
θ
e)
cot
(
180
+
θ
)
=
tan
θ
f)
sec
(
180
+
θ
)
=
−
sec
θ
(i)
{a,c}
(ii)
{e,a,f}
(iii)
{b,d}
(iv)
{b,c,d}
(v)
{c,d,f}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
tan
θ
b)
cosec
(
180
−
θ
)
=
sec
θ
c)
sec
(
180
−
θ
)
=
−
cosec
θ
d)
cot
(
180
−
θ
)
=
−
cot
θ
e)
sec
(
180
−
θ
)
=
−
sec
θ
f)
cosec
(
180
−
θ
)
=
cosec
θ
(i)
{c,a,f}
(ii)
{b,e}
(iii)
{b,d,e}
(iv)
{a,d}
(v)
{d,e,f}
Question
12
12.
Which of the following are true?
a)
tan
(
270
+
θ
)
=
−
tan
θ
b)
cos
(
270
+
θ
)
=
cos
θ
c)
sin
(
270
+
θ
)
=
−
cos
θ
d)
cos
(
270
+
θ
)
=
sin
θ
e)
tan
(
270
+
θ
)
=
−
cot
θ
f)
sin
(
270
+
θ
)
=
−
sin
θ
(i)
{c,d,e}
(ii)
{f,a,e}
(iii)
{a,c}
(iv)
{b,d}
(v)
{b,c,d}
Question
13
13.
Which of the following are true?
a)
sin
(
270
−
θ
)
=
−
sin
θ
b)
cos
(
270
−
θ
)
=
−
cos
θ
c)
sin
(
270
−
θ
)
=
−
cos
θ
d)
tan
(
270
−
θ
)
=
tan
θ
e)
cos
(
270
−
θ
)
=
−
sin
θ
f)
tan
(
270
−
θ
)
=
cot
θ
(i)
{a,c}
(ii)
{b,c,e}
(iii)
{c,e,f}
(iv)
{d,a,f}
(v)
{b,e}
Question
14
14.
Which of the following are true?
a)
sec
(
270
+
θ
)
=
cosec
θ
b)
cot
(
270
+
θ
)
=
−
cot
θ
c)
cosec
(
270
+
θ
)
=
−
cosec
θ
d)
cot
(
270
+
θ
)
=
−
tan
θ
e)
sec
(
270
+
θ
)
=
sec
θ
f)
cosec
(
270
+
θ
)
=
−
sec
θ
(i)
{c,d}
(ii)
{a,d,f}
(iii)
{b,a}
(iv)
{e,b,f}
(v)
{c,a,d}
Question
15
15.
Which of the following are true?
a)
cosec
(
270
−
θ
)
=
−
sec
θ
b)
cot
(
270
−
θ
)
=
cot
θ
c)
cosec
(
270
−
θ
)
=
−
cosec
θ
d)
sec
(
270
−
θ
)
=
−
sec
θ
e)
sec
(
270
−
θ
)
=
−
cosec
θ
f)
cot
(
270
−
θ
)
=
tan
θ
(i)
{c,a,e}
(ii)
{c,e}
(iii)
{a,e,f}
(iv)
{b,a}
(v)
{d,b,f}
Question
16
16.
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)
tan
(
360
+
θ
)
=
cot
θ
e)
cos
(
360
+
θ
)
=
sin
θ
f)
sin
(
360
+
θ
)
=
sin
θ
(i)
{d,b,c}
(ii)
{d,c}
(iii)
{b,c,f}
(iv)
{e,a,f}
(v)
{a,b}
Question
17
17.
Which of the following are true?
a)
tan
(
360
−
θ
)
=
−
cot
θ
b)
tan
(
360
−
θ
)
=
−
tan
θ
c)
sin
(
360
−
θ
)
=
−
cos
θ
d)
cos
(
360
−
θ
)
=
cos
θ
e)
cos
(
360
−
θ
)
=
sin
θ
f)
sin
(
360
−
θ
)
=
−
sin
θ
(i)
{b,d,f}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{c,b,d}
(v)
{e,a,f}
Assignment Key
1) (i)
2) (i)
3) (ii)
4) (iii)
5) (v)
6) (iv)
7) (v)
8) (v)
9) (i)
10) (v)
11) (v)
12) (i)
13) (iii)
14) (ii)
15) (iii)
16) (iii)
17) (i)
