+91-87964 74404
FlagBACK
Question icon
Grade 12Trigonometry

PT costan-1 sincot-1x= root of x2+1/x2+2

Profile image of Smruthi
11 Years agoGrade 12
Answers icon

2 Answers

Profile image of noogler
ApprovedApproved Tutor Answer11 Years ago
cos(tan-1(sin(cot-1x)))=cos(tan-1(sin(sin-1(1/root of 1+x2))))                      cot-1x=tan-1(1/x)=sin-1(1/1+x2)1/2
                                =cos(tan-1(1/1+x2)1/2)                                            sin(sin-1x)=x
                               =cos(cos-1(1+x2/2+x2)1/2)                                        tan-1(1/1+x2)=cos-1(1+x2/2+x2)1/2
                               =(1+x2/2+x2)1/2
Profile image of noogler
11 Years ago
cos(tan-1(sin(cot-1x)))=cos(tan-1(sin(sin-1(1/root of 1+x2)))) 
                                  =cos(tan-1(1/1+x2)1/2)  
                                  =cos(cos-1(1+x2/2+x2)1/2) 
                                  =(1+x2/2+x2)½
 
 
cot-1x=tan-1(1/x)=sin-1(1/1+x2)1/2
 sin(sin-1x)=x
tan-1(1/1+x2)=cos-1(1+x2/2+x2)1/2
 
 

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago