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What's (cot x)/(tan x + sec x) simplified?

Science & Mathematics by Anonymous 2018-06-11 03:03:19

Social Science

What's (cot x)/(tan x + sec x) simplified?

1 answer

  • Anonymous

    cotx/(tanx + secx) = (cosx/sinx)/(sinx/cosx + 1/cosx) = (cosx/sinx) * cosx/(sinx + 1) = cos^2x/(sinx(sinx + 1) = (1 - sin^2x)/(sinx(sinx + 1)) = (1 + sinx)(1 - sinx)/(sinx(sinx + 1)) = (1 - sinx)/sinx = cscx - 1

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