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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
For small ang...
Question
For small angles sin(theta)=theta.Why?
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Q.
Let
0
<
α
<
π
4
be a fixed angle. If
P
=
(
cos
θ
,
sin
θ
)
and
Q
=
(
cos
(
α
−
θ
)
,
sin
(
α
−
θ
)
)
then
Q
is obtained from
P
by :
Q.
The value of
∣
∣ ∣
∣
c
o
s
(
θ
+
∝
)
−
s
i
n
(
θ
+
∝
)
c
o
s
2
∝
s
i
n
θ
c
o
s
θ
s
i
n
∝
−
c
o
s
θ
s
i
n
θ
λ
c
o
s
∝
∣
∣ ∣
∣
is
Q.
For very small angle of incidence of a ray of light striking a glass slab is shown in the figure below
Which of the following expression will give the approximate result for lateral displacement? Use for small
θ
,
sin
θ
≈
θ
and
cos
θ
≈
1
Q.
If
sin
θ
=
0.8
and
θ
lies in
2
n
d
quadrant. Find the value of
cos
θ
.
Given,
sin
2
θ
+
cos
2
θ
=
1
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