Home
Class 12
MATHS
"If" (tan 3 A)/(tan A) = k ", show that"...

`"If" (tan 3 A)/(tan A) = k ", show that" ( sin 3 A)/(sin A) = (2k)/(k-1),` also show that the value of k cannot lie between `1/3 "and" 3`

Text Solution

Verified by Experts

The correct Answer is:
`(k-3)/(3k-1)< 0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) and 3.

If (tan3alpha)/(tanalpha)=lambda ,show that (sin3alpha)/(sinalpha)=(2lambda)/(lambda-1) and hence prove that the value of lambda does not lie between 1/3 and 3

Knowledge Check

  • If (tan 3A)/(tan A)=x, then the value of (sin 3A)/(sin A) is-

    A
    `(x)/(x-1)`
    B
    `(x)/(x+1)`
    C
    `(2x)/(x-1)`
    D
    `(2x)/(x+1)`

  • If 2 tan ^(-1) x = sin ^(-1) k then the value of k is -

    A
    ` (1-x^(2))/(1+x^(2))`
    B
    `(2x)/(1-x^(2))`
    C
    `(2x)/(1+x^(2))`
    D
    `(2x^(2))/(1+x^(2))`

    • Similar Questions

    Explore conceptually related problems

    If tan (A+B) = 3 tan A , "show that" sin (2A +2B) + sin 2A = 2 sin 2 B

    Show that the value of (tan x+ 2 tan2x)/(tanx) cannot lie within 1 and 5.

    If tan theta = 3/4 show that sqrt((1-sin theta)/(1+sin theta)) = 1/2 .

    If 2 tan^(-1)x= sin^(-1)K then the value of k is

    If int sin 2x sin 3x dx = (sinx)/2 - (sin kx)/10 + c then the value of k is -

    If tan theta =(3)/(4) , then show that sqrt((1-sin theta)/(1+sintheta))=(1)/(2) .

    Home
    Profile