SOLUTION: a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.
b. Evaluate: cos(5π/6) tan(4π/3) - sin(-17	
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-> SOLUTION: a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.
b. Evaluate: cos(5π/6) tan(4π/3) - sin(-17	
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Question 922169: a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.
b. Evaluate: cos(5π/6) tan(4π/3) - sin(-17π/4) cos(164π)
Please be descriptive
Thanks Found 2 solutions by stanbon, lwsshak3:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.
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[(1/sin^2)-(cos^2/sin^2)] / (1/cos^2)
[1-cos^2)/sin^2] / (1/cos^2)
[sin^2)/sin^2 / (1/cos^2)
1/(1/cos^2(x)
= cos^2(x)
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b. Evaluate: cos(5π/6) tan(4π/3) - sin(-17π/4) cos(164π)
= (-cos(pi/6)*(-tan(pi/3) - (-sin(pi/4))*(cos(0))
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= (sqrt(3)/2)(-sqrt(3)) - (sqrt(2)/2)(1)
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= (-3/2) - (sqrt(2)/2)
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= (-3-sqrt(2))/2
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Cheers,
Stan H.
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Please be descriptive
You can put this solution on YOUR website! a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.
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