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Question
In: Math
Inverse trigonometric function.
The principal value of tan-1 (cot 43π/4) is
Solutions
Expert Solution
Given - tan-1 (cot 43π/4)
Now we have,
tan-1 (cot 43π/4) = tan-1[ cot (10π + 3π/4)]
On solving we will get
= tan-1[ cot 3π/4] (since cot (2nπ + x = cot x)]
= tan-1 (tan (π/2 – 3π/4))
= (π/2 – 3π/4))
= (2π- 3π)/4
= -π/4
Hence, The principal value of tan-1 (cot 43π/4) is -π/4
The principal value of tan-1 (cot 43π/4) is -π/4
Nikhil Thakur answered 2 years agoRelated Solutions
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