Home
Class 11
MATHS
Prove that (cos (pi-theta).cot(pi/2 +...

Prove that
`(cos (pi-theta).cot(pi/2 +theta).cos(-theta))/(tan(pi+theta).tan((3pi)/(2)+theta).sin(2pi-theta))=cos theta`

Answer

Step by step text solution for Prove that (cos (pi-theta).cot(pi/2 +theta).cos(-theta))/(tan(pi+theta).tan((3pi)/(2)+theta).sin(2pi-theta))=cos theta by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|11 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - I|35 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - 1.1 (VERY SHORT ANSWER QUESTIONS)|29 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

cos((3pi)/2+theta)=

Prove that (sin(3pi-theta)cos(theta- pi/2)tan((3pi)/(2)-theta))/(cosec((13pi)/(2)+theta)sec(3pi+theta)cot(theta- pi/2))=cos^(4)theta

Knowledge Check

  • Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

    A
    0
    B
    -1
    C
    1
    D
    2

  • If tan theta + tan (pi//3+theta)-tan(pi//3-theta)=3 then theta =

    A
    `(n pi)/(3) : n in Z` or `n pi pm Tan^(-1)(1//sqrt(2)) : n in Z`
    B
    `(n pi)/(3)+(-1)^(n)(pi)/(6) : n in Z`
    C
    `(2n pi)/(3)pm(pi)/(9) : n in Z`
    D
    `(4n+1)(pi)/(12): n in Z`

  • If tan(pi cos theta)=cot(pi sin theta), 0 lt theta lt (3pi)/(4) then sin(theta+(pi)/(4))=

    A
    `(1)/(sqrt(2))`
    B
    `-(1)/(sqrt(2))`
    C
    `(1)/(2sqrt(2))`
    D
    `-(1)/(2sqrt(2))`

    • Similar Questions

    Explore conceptually related problems

    Prove that cos theta + cos[(2pi)/3 + theta] + cos [(4pi)/(3) + theta] = 0 .

    Prove that cos^(2)theta+cos^(2)((2pi)/(3)+theta)+cos^(2)((2pi)/(3)-theta)=(3)/(2)

    Lt_(theta to pi//2) (1-sin theta)/((pi)/(2))- theta cos theta=

    IF y=(tan(pi/4+theta)+tan(pi/4-theta))/(tan(pi/4+theta)-tan(pi/4-theta)) then find y.

    Match the following . {:((1) tan(pi/4+theta)-tan(pi/4-theta)=,(a) 1),((b)tan(pi/4+theta)+cot(pi/4+theta)=,(b)4sec^(2)2theta),((c)tan(pi/4+theta).tan(pi/4-theta)=,(c)2sec2theta),((d)cosec^(2)(pi/4+theta)cosec^(2)(pi/4-theta)=,(d)2tan2theta):}

    Home
    Profile