Math

Prove that cosec 60 degrees cot 30 degrees tan 60 degrees=2secsquared 45degrees cos 30 degree

  1. 👍 0
  2. 👎 0
  3. 👁 279
asked by Haiano
  1. Work on the left-hand side first:
    csc60 cot30 tan60
    =(1/sin60)(tan60)(tan60)
    =(1/sin60)(tan²60)
    =(1/sin60)(sec²60-1)
    =(2/√3)(2²-1)
    =2√3

    Work on the right-hand side:
    2sec²45cos30
    =2(2/√2)² (√3)/2
    =8/2 (√3)/2
    =2√3

    Thus LHS=RHS and the proof is complete.

    1. 👍 0
    2. 👎 0
    posted by MathMate
  2. csc60° * cot 30° * tan 60°
    = 2/√3 * √3 * √3
    = 2√3

    2sec^2 45° cos30°
    = 2*2*√3/2
    = 2√3

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot

    asked by Anon on January 1, 2011
  2. math

    find the exact value of [sec(-30 degrees)- cot 120 degrees]/1-cosec^2(45 degrees) Find the exact value of [sin^2(355 degrees) + cos^2 (355 degrees)]/ tan^2 (30 degrees)

    asked by lindsay on April 2, 2013
  3. Algebra II

    Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))? A.)-cot(theta) B.)cot(theta) C.)tan(theta)-cot(theta) D.)tan(theta)-sec^2(theta) 2.)Find

    asked by HotMath on June 9, 2011
  4. Maths - More than one question please help me

    Hi everyone :) I need a lot of help. I have many questions i don't get how to do and even if you can help me with one of them, I'd truly appreciate it. I really need the help and i gotta hand this in soon so please help if you

    asked by sweetG on July 3, 2008
  5. trig

    simplify tan(-17 degree)+sin(24 degree)+cot(73 degrees)+cos(66 degrees in(-24 degree)

    asked by Reda on October 25, 2014
  1. Math

    Solve:(sec 35 degrees) (csc 55 degrees) - (tan 35 degrees) (cot 55 degrees)

    asked by Audrey on October 21, 2010
  2. Math

    Find the exact value of cos 1 degree + cos 2 degrees + cos 3 degrees + ... + cos 357 + cos 358 degrees + cos 359 degrees.

    asked by EC on October 24, 2016
  3. Math

    How do you express in terms of angles less than 90 degrees? sin 120 degrees cos 150 degrees tan 280 degrees

    asked by Wes on April 22, 2010
  4. trig

    How do you express in terms of angles less than 90 degrees? sin 120 degrees cos 150 degrees tan 280 degrees

    asked by Wes on April 22, 2010
  5. Maths

    1) Simplification (trigonometric ratios of allied angles)? Simplify : i) [cos^2 (2x180-A). tan^2 (180+A). sec^2 (180-A)] / [ sin^2 (3x180+ A). cosec^2 (-A). cot^2 (90+A)] ii)[ cos(90+A). sec(270+A). sin(180-A) ] / [ cosec (-A).

    asked by Roy on May 2, 2013

More Similar Questions