Home
Class 11
MATHS
cotxcot2x-cot2xcot3x-cot3xcotx=1...

`cotxcot2x-cot2xcot3x-cot3xcotx=1`

Text Solution

AI Generated Solution

To prove the equation \( \cot x \cot 2x - \cot 2x \cot 3x - \cot 3x \cot x = 1 \), we can follow these steps: ### Step 1: Rewrite \( \cot 3x \) We can express \( \cot 3x \) using the angle addition formula: \[ \cot 3x = \cot(x + 2x) \] Using the formula for \( \cot(A + B) \): ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3.4|8 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3.2|10 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that: cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1

Prove that: cot2Acot3A-cot3Acot5A-cot5Acot2A=1

int[(cot^2 2x-1)/(2cot2x)-cos8xcot4x]dx

int(cotx+cot^3x)/(1+cot^3x)dx

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

The value of (tan55^0)/(cot35^0)+cot1^0cot2^0cot3^0cot90^0,i s -2 (b) 2 (c) 1 (d) 0

Evaluate : ("lim")_(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

Evaluate lim_(xto pi//4) (1-cot^(3)x)/(2-cotx-cot^(3)x).

If cot^(2)x=cot(x-y)*cot(x-z) , then cot2x is equal to (x!= pm pi/4)

inte^x(1-cotx+cot^2x)dx= e^xcotx+C (b) e^xcotx+C (c) e^x\ cos e c\ x+C (d) e^x\ cos e c\ x+C