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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
Question 5 Wr...
Question
Question 5
Write ‘True’ or ‘False’ and justify your answer in each of the following:
If
c
o
s
A
+
c
o
s
2
A
=
1
, then
s
i
n
2
A
+
s
i
n
4
A
=
1
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Solution
The statement is true.
According to the question,
∵
c
o
s
A
+
c
o
s
2
A
=
1
⇒
c
o
s
A
=
1
−
c
o
s
2
A
=
s
i
n
2
A
⌊
∵
s
i
n
2
A
+
c
o
s
2
A
=
1
⌋
⇒
c
o
s
2
A
=
s
i
n
4
A
⇒
1
−
s
i
n
2
A
=
s
i
n
4
A
⇒
s
i
n
2
A
+
s
i
n
4
A
=
1
⌊
∵
c
o
s
2
A
=
1
−
s
i
n
2
A
⌋
Suggest Corrections
0
Similar questions
Q.
Question 5
Write ‘True’ or ‘False’ and justify your answer in each of the following:
If
c
o
s
A
+
c
o
s
2
A
=
1
, then
s
i
n
2
A
+
s
i
n
4
A
=
1
Q.
If
cos
A
+
cos
2
A
=
1
then
sin
2
A
+
sin
4
A
=
1
.Is it true or false?
Q.
Question 1
Write ‘True’ or ‘False’ and justify your answer in each of the following:
t
a
n
47
∘
c
o
t
43
∘
=
1
Q.
State whether the following statement is true or false.
If
cos
A
+
cos
2
A
=
1
,
then
sin
2
A
+
sin
4
A
=
1.
Q.
1
+
s
i
n
2
A
+
c
o
s
2
A
s
i
n
A
+
c
o
s
A
=
2
c
o
s
A
if true then write 1 and if false then write 0
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