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Question : 64 of 160
Marks:
+1,
-0
Solution:
The given expression is,
sin−1() +
cos−1() +
tan−1() …… (1)
Assume,
θ=sin−1() sin‌θ= Consider the figure,
tan‌θ= θ=tan−1() Assume,
ϕ=cos−1() cos‌ϕ=Consider the figure,
tan‌ϕ= ϕ=tan−1() Substitute the value in equation (1),
tan−1()+tan−1()+tan−1() From,
tan−1A+tan−1B=π+tan−1() the above equation is simplified as,
tan−1()+tan−1() +tan−1()=π
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