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Sloan [31]
3 years ago
11

Verify the identity. Justify each step.

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0
From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

∴ tan θ + cot θ = (sin θ) / (cos θ)  +  (cos θ) / (sin θ)
  = [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )


note :   sin² θ + cos² θ = 1

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Rearrange equation.h=-16t^2-6t+110 h = 0 at the ground. divide both sides of the equation by (-2) to yield: 0 = 8t^2+3t - 55 and use quadratic equation h=<span>-b±√(b2 - 4ac)</span>                                                    2awhere a = 8, b= 3, c=-55 Substitute:  [-3 ± √(9 - 4*8*(-55))] / (16) = [6 ± √(36 + 1760)] / (16) = [6 ± √(1796)] /16 = (6 ± 42.3792)/16.  Time can only be positive for this problem...so discard negative answer. = 48.3792/16 = 3.02 seconds
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5 0
3 years ago
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Hope this helps! have a blessed day.

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