Find the value of sin330.coso120+cos210.sin300?
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0
Answer:
⇒
1
Explanation:
sin
330
cos
120
+
cos
210
sin
300
enter image source here
⇒
(
sin
(
360
−
30
)
⋅
cos
(
180
−
120
)
)
+
(
cos
(
180
+
30
)
⋅
sin
(
360
−
60
)
From the diagram, sin is negative in IV quadrant & cos negative in II & III quadrants.
⇒
(
(
−
sin
30
)
⋅
(
−
cos
60
)
)
+
(
(
−
cos
30
)
⋅
(
−
sin
60
)
)
⇒
(
sin
30
⋅
cos
60
)
+
(
cos
30
⋅
sin
60
)
enter image source here
⇒
(
(
1
2
)
⋅
(
1
2
)
)
+
(
(
√
3
2
)
⋅
(
√
3
2
)
)
⇒
1
4
+
3
4
=
1
Step-by-step explanation:
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