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CBSE Class 12-science Answered

Which is the correct option? If begin mathsize 12px style f open parentheses x close parentheses equals sin x plus cos x comma g open parentheses x close parentheses equals x squared minus 1 comma t h e n space g open parentheses f open parentheses x close parentheses close parentheses space i s space i n v e r t i b l e space i n space t h e space d o m a i n i. open square brackets 0 comma straight pi over 2 close square brackets space space space space space space i i. open square brackets negative straight pi over 4 comma straight pi over 4 close square brackets space space space space space space i i i. open square brackets fraction numerator negative straight pi over denominator 2 end fraction comma straight pi over 2 close square brackets space space space space space space i v. open square brackets 0 comma straight pi close square brackets end style
Asked by sunil2791 | 11 Jun, 2017, 11:41: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals sinx plus cosx straight g left parenthesis straight x right parenthesis equals straight x squared minus 1 rightwards double arrow straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals straight g open parentheses sinx plus cosx close parentheses rightwards double arrow straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals open parentheses sinx plus cosx close parentheses squared minus 1 rightwards double arrow straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals 2 sinxcosx rightwards double arrow straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals sin 2 straight x minus 1 less or equal than sinθ less or equal than 1 rightwards double arrow negative 1 less or equal than sin 2 straight x less or equal than 1 rightwards double arrow sin to the power of negative 1 end exponent open parentheses negative 1 close parentheses less or equal than 2 straight x less or equal than sin to the power of negative 1 end exponent open parentheses 1 close parentheses rightwards double arrow negative straight pi over 2 less or equal than 2 straight x less or equal than straight pi over 2 rightwards double arrow negative straight pi over 4 less or equal than straight x less or equal than straight pi over 4 end style
Answered by Sneha shidid | 12 Jun, 2017, 09:37: AM

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CBSE 12-science - Maths
2+2=?
Asked by surajkumar85440 | 23 Nov, 2021, 10:30: AM
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CBSE 12-science - Maths
In R - {-1}, there is a binary operation '*' defined by a*b = a+b - ab, for all a,b belongs to R - {-1}. Is R - {-1} group?
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CBSE 12-science - Maths
Please answer this question 
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Asked by alanpeter9611 | 12 Feb, 2019, 06:08: PM
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CBSE 12-science - Maths
 Consider the binary operation * on the set {1, 2, 3, 4, 5} defined by a*b=HCF of a andb. Write the operation table of the operation *. Is * commutative? Justify. Also, compute: (a) (2*3)*5 (b) (2*3)*(4*5). 
Asked by niharikapabba2605 | 12 Oct, 2018, 07:21: PM
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CBSE 12-science - Maths
 Show that the binary operation * on A = R – {-1} defined as a*b = a + b + ab for all a,b belongs to A is commutative and associative on A. also find the identity element of  * in A and prove that every element of A in invertible mention each and every formula and minute details
Asked by haroonrashidgkp | 07 Jun, 2018, 11:03: AM
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CBSE 12-science - Maths
Define binary operation * on a set X.
Asked by Topperlearning User | 25 Apr, 2016, 08:38: AM
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CBSE 12-science - Maths
A binary operation is defined by x * y = 2x – 3y. Find *(3, 2).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
A binary operation is defined by a * b = ab/2. Is the binary operation commutative?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
A binary operation defined by a * b = ab. Is the binary operation associative?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
For the binary operation * defined by a * b = a + b + 1. Find the identity element for operation *.
Asked by Topperlearning User | 26 Apr, 2016, 11:58: AM
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