Question

4. यदि A = tan
n-1x हो, तो sin 2A का मान क्या होगा?​

Answer 1

Answer:

x = 3

2 osQ fy, cos–1x dk eq[; eku Kkr dhft,A

gy ;fn cos–1

3

2

= θ , rc cos θ = 3

2 .

ge ;gk¡ eq[; 'kk[kk ij fopkj dj jgs gSa blfy, θ ∈ [0, π]. iqu%

3

2

> 0 ls ge tku x, fd

θ izFke prqFkk±'k eas gS blfy, cos–1

3

2

= 

6 .

mnkgj.k 2 tan–1 – sin

2

dks ifjdfyr dhft,A

gy tan–1 – sin

2

= tan–1  sin

2

      −       = tan–1(–1) =



4

− .

mnkgj.k 3 cos–1 13

cos

6

dk eku Kkr dhft,A

gy cos–1 13

cos

6

= cos–1 cos(2 ) 6

  π   π+   = –1 

cos cos

6

     

= 6

π .

mnkgj.k 4 tan–1 9

tan

8

dk eku Kkr dhft,A

gy tan–1 9

tan

8

= tan–1 tan 8

  π   π +  

= –1 tan tan

8

    π         = 

8

Answer 2

Step-by-step explanation:

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