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TS EAMCET · Maths · Trigonometric Equations

e4x+e-4x+144ex-e-x2=

  1. A sinh2x+cothx2
  2. B sinh2x+sech2x
  3. C cosh2x+sech2x
  4. D cosh2x+tanh2x
Verified Solution

Answer & Solution

Correct Answer

(A) sinh2x+cothx2

Step-by-step Solution

Detailed explanation

Given, e4x+e-4x+144ex-e-x2 Now solving option one by one to match the given expression, Now we know that, The formula of sinhx=ex-e-x2 and cothx=ex+e-xex-e-x Now solving coth2x+sinh2x=e2x+e-2x+2e2x+e-2x-2+e2x+e-2x-24…
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