Evaluate without using tables:
(
tan 200
cot 700
)
2
+ (
700
200
)
2
− 2150
450
750
.
Answers
Answered by
1
Answer:
Formula:
tan(90−x)=cotx
sec(90−x)=cscx
csc(90−x)=secx
(
csc70
∘
tan20
∘
)
2
+(
sec70
∘
cot20
∘
)
2
+2tan15
∘
tan45
∘
tan75
∘
=(
sec20
∘
tan20
∘
)
2
+(
csc20
∘
cot20
∘
)
2
+2tan15
∘
tan45
∘
cot15
∘
=sin
2
20
∘
+cos
2
20
∘
+2tan15
∘
cot15
∘
tan45
∘
=1+2(1)(1)
=1+2
=3(Ans)
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