math- precalulus

Can someone help me with this prolem please?

Use the information given about the angle Ɵ to find the exact value of:
sin 2Ɵ.

1) sinƟ= 3/5, 0 < Ɵ < (π/2)

  1. 👍 0
  2. 👎 0
  3. 👁 201
asked by kayla
  1. form a right-angled triangle in the first quadrant with the angle at the origin equal to Ɵ the opposite equal to 3 and the hypotenuse equal to 5
    You should recognize the 3,4, 5 right-angled triangle
    so cosƟ = 4/5

    sin2Ɵ = 2sinƟcosƟ
    = 2(3/5)(4/5)
    = 24/25

    check
    if sinƟ = 3/5 then Ɵ = 36.8699
    2Ɵ = 73.7398
    sin 73.7398 = .96
    and 24/25 = .96

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math- precalculus

    Can someone help me with this prolem please? Use the information given about the angle Ɵ to find the exact value of: sin 2Ɵ. 1) cosƟ= 3/5, 0 < Ɵ < (π/2)

    asked by kayla on March 4, 2009
  2. dayli science

    write one or two sentences that contain these words:hypothesis,solutin,prolem,scientist

    asked by flavia on September 20, 2011
  3. Chemistry

    How many particles are in .169 moles of Potassium Sulfide?! What is the percent composition of sulfer in that same prolem?!

    asked by Alison on February 19, 2012
  4. Physics - maximum height of the projectile motion

    Suppose you knew the maximum height reached by a proejctile. Could you find its launch angle from this information alone? If not, what additional information would be required? (No it is not enough, the initial velocity? i also

    asked by Shaila on August 21, 2010
  5. Algebra 3

    How would I solve this problem in a calculator: -2x(squared) minus 6x+5, when asked these 6 questions; what are the roots of the prolem?, what is the factorization?, what is the vertex?, what is the minimum & maaximum?, axis of

    asked by anonymous on April 6, 2012
  6. Math

    Given that Angle TUN and Angle PUN are complementary angles and Abgle OUR = 4

    asked by Anna on August 23, 2017
  7. Chemistry

    Okay, in this prolem i need to balence this equation. Even our teacher had problems with it, but he refuses to help anyone. PbCrO4 + HCL + FeSO4 ----> PbCl2 + Cr2 (SO4)3 + H2O + Fe2(SO4)3 please help me. this is the last problem

    asked by Hopelessly Confused :( on March 10, 2009
  8. Geometry

    Point D is on the interior of angle ABC. Use the given information to find m angle DBC. (Draw the picture.) M angle ABC = (5x +6) M angle ABD = (7x - 9) M angle DBC = (5x - 6) Answer so far: (5x + 6) + (5x - 6) = (7x - 9) 10x = 7x

    asked by Justin on October 5, 2015
  9. Movement & Music

    A movemnt program that emphasizes divergent prolem solving, discovery, and self-expression to foster creativity utilizes the _______ teaching method. a. command instruction b. direct instruction c. exploration d. guided discovery

    asked by Cyn on January 31, 2013
  10. Pre-Calculus follow up question Reiny

    Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 but if you add 81.4 (measure of angle B) plus

    asked by DW on April 7, 2013

More Similar Questions