The value of coseo 10° + coseo 50° - coseo 70° is
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Answer:
cosec10
∘
+cosec50
∘
−cosec70
∘
=
sin10
∘
1
+
sin50
∘
1
−
sin70
∘
1
=
2sin10
∘
sin50
∘
sin70
∘
2sin50
∘
sin70
∘
+2sin10
∘
sin70
∘
−2sin10
∘
sin50
∘
=
2sin10
∘
sin(60
∘
−10
∘
)sin(60
∘
+10
∘
)
2sin70
∘
(sin50
∘
+sin10
∘
)−2sin10
∘
sin50
∘
=
2sin10
∘
sin(60
∘
−10
∘
)sin(60
∘
+10
∘
)
2sin70
∘
(2sin30
∘
cos20
∘
)−cos40
∘
+cos60
∘
=
2sin10
∘
(sin
2
60
∘
−sin
2
10
∘
)
2sin
2
70
∘
−cos40
∘
+
2
1
=
2(
4
3sin10
∘
−4sin
3
10
∘
)
1−cos140
∘
−cos40
∘
+
2
1
=
2
sin30
∘
cos40
∘
−cos40
∘
+
2
3
=
4
1
2
3
=6
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