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If cosθ= -8/17 and θ is in quadrant III, cos2θ=_____ and tan2θ=______

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3 votes

Answer:

Explanation:

If cosθ= -8/17 and θ is in quadrant III, cos2θ=_____ and tan2θ=______-example-1
User DV Singh
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5.3k points
2 votes

Answer:

cos2θ = -0.5563

tan2θ = -1.49.4

Explanation:

There are 3 trigonometric ratios; Sine, cosine and tangent.

cos = adjacent/hypotenuse

sine = opposite/hypotenuse

tangent = opposite/adjacent

If cosθ = -8/17

θ = cos⁻¹(-8/17)

= cos⁻¹(-0.4706)

= 180+61.9

= 241.9°

cos 2θ = cos (2×241.9)

= cos 483.8° = cos 123.8°

= -0.5563

tan 2θ = tan(2×241.9)

= tan 483.8

= tan 123.8

= -1.49.4

User Buzz Lightyear
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5.8k points