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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Compound Angles
The value of ...
Question
The value of
cos
105
∘
+
sin
105
∘
cos
105
∘
−
sin
105
∘
is
A
1
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B
−
√
3
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C
−
2
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D
−
1
√
3
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Solution
The correct option is
D
−
1
√
3
cos
105
∘
+
sin
105
∘
cos
105
∘
−
sin
105
∘
=
1
+
tan
105
∘
1
−
tan
105
∘
=
tan
45
∘
+
tan
105
∘
1
−
tan
45
∘
tan
105
∘
=
tan
150
∘
=
−
1
√
3
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