# If `cot^(-1)x+tan^(-1)(1/2)=pi/4` then x is

Updated On: 15-5-2021

2.7 k+

100+

Answer

Text Solution

1/3

2/3

2

3

D

Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | hello guys we have cot inverse X + 10 inverse 1 by 2 is equal to pi by 4 then we have to find the value of x in this question we convert this cot inverse in the form of tan inverse so we know that cot inverse X can be written as tan inverse 1 upon X should be put the value of cot inverse X where we get tan inverse 1 upon X + 10 inverse 1 upon 2 is equal to pi by 4 now if you are we use the formula of tan inverse A + tan inverse B we get tan inverse 1 upon X + 1 upon 2 upon 1 minus one upon X into 1 upon 2 is equal to pi by 4 now we take this tan inverse right hand side we get 2 + X upon 2 x minus 1 is equal to 10 |

01:00 - 01:59 | that is equal to 1 now a b cross multiplication this we get 2 + x is equal to 2 x minus 1 year we can say that x is equal to 3 power option from where we can see that our option number 4 is correct this is the answer I hope you guys like it thank you |

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