Advance fuctions

posted by .

write and that is equivalent to each of the following expression,using the related acute angle
a) sin 13pi/6 b) cos 11pi/8
c) tan 7pi/4

  • Advance fuctions -

    a) sin(13π/6)
    = sin(2π + π/6)
    so we are in quadrant I with an angle of sin π/6
    sin π/6 = 1/2

    cos(11π/6)
    = cos(2π-π/6) .... ( think: 330° = 360° - 30°)
    so we are in quad IV and in IV the cosine is positive

    = cos π/6 = √3/2

    c) tan 7π/4
    = tan (2π - π/4) ------ in IV where the tangent is negative
    = -tan π/4 = -1

    You can and should check your answers with a calculator.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Eliminate the parameter (What does that mean?
  2. math

    1. express tan 11pi/6 in terms of a positive acute angle 2. solve for x : sin(4x-7) = cos 17 thank you!
  3. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the …
  4. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of sin -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the …
  5. Precalculus check answers help!

    1. Which expression is equivalent to cos 2theta for all values of theta ?
  6. Advance fuctions

    write and that is equivalent to each of the following expression,using the related acute angle a) sin 13pi/6 b) cos 11pi/8 c) tan 7pi/4
  7. Math

    How does the related acute angle help to determine the trigonometric ratios of angles greater than 90 degrees?
  8. Trigonometry

    If cos(a)=1/2 and sin(b)=2/3, find sin(a+b), if 1) Both angles are acute; Answer: (sqrt(15)+2)/6 ii) a is an acute angle and pi/2 < b < pi; Answer: (2-sqrt(15))/6 2. Find the exact value of the six trigonometric functions of …
  9. Trigonometry - Checking my work

    Find the sum of the three smallest positive values of theta such that 4 cos^2(2theta-pi) =3. (Give your answer in radians.) Hi guys, I've been struggling with this problem. Here's my thinking about the problem: we can rewrite the equation …
  10. Math

    3. find the four angles that define the fourth root of z1=1+ sqrt3*i z = 2 * (1/2 + i * sqrt(3)/2) z = 2 * (cos(pi/3 + 2pi * k) + i * sin(pi/3 + 2pi * k)) z = 2 * (cos((pi/3) * (1 + 6k)) + i * sin((pi/3) * (1 + 6k))) z^(1/4) = 2^(1/4) …

More Similar Questions