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Trig question from mathsonline (1 Viewer)

Thylacine

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A triangle ABC is right-angled at C.
Angle BAC = theta.
D is the point on AB such that DC is perpendicular to AB.

i) You are given that 2AD + 7BC = 5AB
Simplify: 2cos theta + 7tan theta

ii) Hence find theta
 

photastic

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Part i) It's good to draw a diagram. After finding this, ii is a simple trig question but since it's a triangle, theta is only between 0 and 90 degrees.

 

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