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CBSE Class 11-science Answered

tanx=root n where n belongs to Ngreater or equal than2 then sec 2x is always- rational irrational positive or negative?  
Asked by aahnik.mohanty | 29 May, 2019, 08:02: PM
answered-by-expert Expert Answer
tan space x equals square root of n comma space n element of N greater or equal than 2
rightwards double arrow tan squared x equals n
N o w comma
s e c space 2 x equals fraction numerator 1 over denominator cos space 2 x end fraction equals fraction numerator 1 plus tan squared A over denominator 1 minus tan squared A end fraction equals fraction numerator 1 plus n over denominator 1 minus n end fraction
S i n c e comma space n greater or equal than 2 space rightwards double arrow space n plus 1 greater or equal than 3 space a n d space 1 minus n less or equal than negative 1
rightwards double arrow fraction numerator 1 plus n over denominator 1 minus n end fraction space i s space a l w a y s space r a t i o n a l
H e n c e comma space s e c space 2 x space i s space a l w a y s space r a t i o n a l.
Answered by Renu Varma | 30 May, 2019, 11:06: AM
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