Sin[cot-1{cos(tan-1x)}], Mathematics

sin (cot-1 {cos (tan -1x)})

tan-1 x = A  => tan A =x

sec A = √(1+x2) ==>  cos A = 1/√(1+x2)    so   A =  cos-1(1/√(1+x2))

sin (cot-1 {cos (tan -1x)}) = sin (cot-1 {cos (cos-1(1/√(1+x2))}) 

=sin (cot-1 {(1/√(1+x2))})

if cot-1 {(1/√(1+x2))} = B

{(1/√(1+x2))} = cotB  ==>  cosec B = {(√[(2+x2)/(1+x2)])}

sin B = {(√[(1+x2)/(2+x2)]} ==>  B  = sin -1 ({(√[(1+x2)/(2+x2)]})

sin {sin -1 ({(√[(1+x2)/(2+x2)]})} = √[(1+x2)/(2+x2)]

the answer is √[(1+x2)/(2+x2)]

 

Posted Date: 3/9/2013 6:52:41 AM | Location : United States







Related Discussions:- Sin[cot-1{cos(tan-1x)}], Assignment Help, Ask Question on Sin[cot-1{cos(tan-1x)}], Get Answer, Expert's Help, Sin[cot-1{cos(tan-1x)}] Discussions

Write discussion on Sin[cot-1{cos(tan-1x)}]
Your posts are moderated
Related Questions
An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th

number of ways that a mixed doubles tennis game can be arranged from 7 couples if no husband and wife play in the same game is??

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function.  As it's sufficiently easy to derive the formulas that we'

find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a

Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. Sin= sqroot3/2

what is market orientation? what is the importance of market orientation?what are its implementation?

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the