Which statement is ALWAYS true?

The sine of an angle is equal to the sine of the angle's complement.

The cosine of an angle is equal to the sine of the angle's supplement.

The sine of an angle is equal to the cosine of the angle's complement.

The cosine of an angle is equal

  1. 👍 0
  2. 👎 0
  3. 👁 1,482
  1. If you know your trig relations and formulas, then its clearly C

    otherwise, you could test them with some angles.
    Remember, if you find even one exception to a mathematical rule, then that rule is invalid
    A, let Ø = 20, then its complement is 70°
    sin20 = appr .342
    sin70 = appr .94 , so it is NOT A

    B) cos20 = appr .94 (mmm, wasn't that sin70° ???)
    sin 160 = .342 , so NOT B

    sin20 = .342
    cos70 = .342 , mmmhhh?

    let's take a really weird angle
    sin 37.1234° = .603533676 -- on my calculator
    cos(90 - 37.1234)
    = cos( 52.8766) = .603533676
    well, what are the chances of that ???

    Sure looks like C

    of course, if you haven't already learned,
    sin Ø = cos(90°-Ø) for any value of Ø

    your D is not complete

    1. 👍 1
    2. 👎 0
  2. Thanks.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trig

    Which trigonometric function can equal or be greater than 1.000? A Sine B Cosine C Tangent D none of the above

  2. Precalculus

    Find the exact value of cos(u+v) given that sine u=4/5 with u in quadrant II and sine v = -12/13 with v in quadrant IV. Not sure how to even begin.

  3. Physics

    When light of a certain wavelength is incident normally on a certain diffraction grating the line of order 1 is at a diffraction angle of 25 degrees. The diffraction angle of the second order line is : a) 25 b) 42 c) 50 d) 58 e)

  4. Math

    1) use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees and 30' Please explain!! I do not know how to start.

  1. Geometry

    Right triangle FHG is shown *The sine of angle F is 0.53 What is the cosine of angle H? Round the answer to the nearest hundredth

  2. Trig - Ambiguous Case of the Sine Law

    This is the question: In triangle LMN, angle LMN = 42 degrees, LN = 32mm, and LM = 42 mm. Calculate all possible measures of angle MLN to the nearest degree. Use the sine ratio and show your work.

  3. trig

    The hypotenuse of the right triangle PQR is 16ft. length. The sine of the angle

  4. Pre calc

    Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67° 30' 7 sin(67° 30')= cos(67° 30')= 4 tan(67° 30')=

  1. Math

    What angle in the first quadrant could you reference to help you find sine and cosine of each of the following angles ? 330 120 113 203

  2. Math

    Which angle between 90° and 270° has the same sine value as 10°? Which angle between −180° and 0° has the same cosine value as 200°

  3. Calculus and Vectors

    In triangle RST, RS=4, RT=7, and ST=5. Determine the measures of the angles to the nearest degree. I solved correctly for T's angle of 34 degrees. Once I try using the sine law to solve for angle S, I keep getting 78 degrees, when

  4. trigonometry

    in triangle abc, angle c is a right angle, AC=8,Bc=15 and AB=17 a.find Sine a b.Find cosine A c.Find Sine B d. Find COsine B E. the measure of angel A f. the measure of angela b Can u tell me the answers and how to do it. Because

You can view more similar questions or ask a new question.