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Byju's Answer
Standard XII
Mathematics
Sign of Trigonometric Ratios in Different Quadrants
sin7π4=1√2
Question
sin
7
π
4
=
1
√
2
A
True
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B
False
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Solution
The correct option is
B
False
sin
7
π
4
=
sin
(
3
×
π
2
+
π
4
)
Since
3
×
π
2
+
π
4
lies in the IV quadrant in which sine function is negative and 3 is an odd integer.
Therefore,
sin
7
π
4
=
sin
(
3
×
π
2
+
π
4
)
=
−
cos
π
4
=
−
1
√
2
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Similar questions
Q.
Evaluate :
sin
7
π
4
Q.
Two angles can have exactly five points in common.
True
False
Q.
The
principal
value
of
cos
−
1
(
−
sin
7
π
6
)
is
:
Q.
X = -5 can this be expressed as a linear equation in two variables?
True
False
Q.
State true\false:
3
x
+
2
y
=
5
,
2
x
−
3
y
=
7
is an example of consistent pair of equations.
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