Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 months ago

Math help ?

Look at the image below. What does 

sin(theta) equals Cos(theta) equals Sec(theta) equals

Attachment image

2 Answers

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  • 3 months ago

     If tan (θ) = 12/5,

     then,

     sin(θ) = 12/13, cos θ = 5/13, and sec θ = 13/5

  • 3 months ago

    A familiar identity is tan^2(theta) + 1 = sec^2(theta),

    so in your problem, 576/100 + 100/100 = 676/100 = (26/10)^2 and 

    sec(theta) = 26/10 or 13/5. Then cos(theta) = 10/26 or 5/13, and 

    sin(theta) = sqrt[1 - cos^2(theta) ] = 12/13.

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