Eamcet - Maths - Hyperbolic Functions Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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If sinh 9- k sinh k=(k+1)sinh3 k,then k=

  

  

  

  

log(x-1+√(x2-2x)(x≥2) is equal to

  

  

  

  

If cosh x= sec θ, then tanh2 x/2=

  

  

  

  

If sinh x= cos θ and sin θ=2/3 then cosh x=

  

  

  

  

If A= Tanh-1 (1/2)+ Coth-1(2), B= sinh(Cosh-1 9), C= sech2(Tanh-1 1/2)+cosech2(Coth-1 3) then

  

  

  

  

(cosh x+ sinh x)n=

  

  

  

  

If y= 1/2 Cosech-1 (1/2x√(1+x2)), then x=

  

  

  

  

If tan A= tan α tan β= cot α tanh β, then tan(A+B)=

  

  

  

  

If z= x+iy such that cos z= 2, then z=

  

  

  

  

(cosh x/1- tanh x)+(sinh x/ 1- coth x)=

  

  

  

  

If 2 Sinh-1 (a/√(1-a2))= log(1+x/1-x), then x=

  

  

  

  

If coth x= sec θ, then cosech x=

  

  

  

  

2 cosh 3 cosh 5=

  

  

  

  

If Sinh-1 √3= log(sec θ+tan θ), then θ=

  

  

  

  

(tan hx/ Sechx-1)+ (sinh x/ sech x+1)

  

  

  

  

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