Home
Class 12
MATHS
Prove that : "cos"^(-1) ((b+a "cos"x)/(...

Prove that :
`"cos"^(-1) ((b+a "cos"x)/(a+b "cos"x))`
` =2"tan"^(-1)(sqrt((a-b)/(a+b)) "tan" x/2)

Text Solution

Verified by Experts

The correct Answer is:
`= cos^(-1) ((a cos x + b)/(a + b cos x)) = LHS`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

  • CHSE ODISHA EXAMINATION PAPER - 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

Similar Questions

Explore conceptually related problems

Prove that cos^(-1) ((b + a cos x)/( a + b cos x)) = 2 tann^(-1) (sqrt((a - b)/( a + b)) tan "" (x)/(2))

Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a+b])tanfrac[x][2])

Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan^(-1)("tan"(alpha)/(2)"tan"(beta)/(2))

Prove statement "cos"" tan"^(-1) " cot sin"^(-1) x =x

Prove statement "tan"^(-1)((a-b)/(1+ab)) +"tan"^(-1)((b-c)/(1+bc)) ="tan"^(-1)a-"tan"^(-1) c .

Prove that : "tan"(pi/4 +1/2 "cos"^(-1) a/b) +"tan"(pi/4 -1/2 "cos"^(-1) a/b) =(2b)/a

Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(asqrt(3))=pi/(3)

Prove statement "tan"^(-1) (a-b)/(1+ab)+"tan"^(-1)(b-c)/(1+bc) +"tan"^-1(c-a)/(1+ca) ="tan"^(-1) (a^2-b^2)/(1+a^2b^2) +"tan"^(-1)(b^2-c^2)/(1+b^2c^2)+"tan"^(-1) (c^2-a^2)/(1+c^2a^2)

Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

Prove the "tan"^(-1)(2a-b)/(bsqrt3) +"tan"^(-1) (2b-a)/(asqrt3) =pi/3

Home
Profile