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CBSE Class 12-science Answered

Express the following in the simplest form  tan to the power of negative 1 end exponent open parentheses fraction numerator cos x over denominator 1 plus sin x end fraction close parentheses comma negative straight pi over 2 less than x less than straight pi over 2
Asked by Topperlearning User | 25 Apr, 2016, 08:43: AM
answered-by-expert Expert Answer
We have,
 
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=
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equals tan to the power of negative 1 end exponent open curly brackets tan open parentheses straight pi over 4 minus x over 2 close parentheses close curly brackets equals straight pi over 4 minus x over 2 space space space space space space space space space space space space space space space space space space open square brackets because minus straight pi over 2 less than x less than straight pi over 2 rightwards double arrow negative straight pi over 4 less than negative straight pi over 2 less than negative x over 2 less than straight pi over 4 less than straight pi over 2 rightwards double arrow 0 less than straight pi over 4 minus x over 2 less than straight pi over 2 close square brackets       
Answered by | 25 Apr, 2016, 10:43: AM

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