Trigonometry Practice Question and Answer

Q:

рдпрджрд┐ 3sin2╬╕ тАУ cos╬╕-1=0, 00< ╬╕<900 рд╣реИ, рддреЛ cot ╬╕ + cosec ╬╕┬ардХрд╛ рдорд╛рди рдХреНрдпрд╛ рд╣реИ?

876 0

  • 1
    $${3\sqrt { 2} }\over 2$$
    Correct
    Wrong
  • 2
    $${2\sqrt { 3} }$$
    Correct
    Wrong
  • 3
    $${\sqrt { 5} }$$
    Correct
    Wrong
  • 4
    $${2\sqrt { 5} }$$
    Correct
    Wrong
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Answer : 3. "$${\sqrt { 5} }$$"

Q:

рдпрджрд┐┬а$${secA={5\over 4}}$$┬ард╣реИ,┬арддреЛ┬а$${{tanA}\over 1+tan^2A}-{sinA\over secA}$$┬ардХрд╛┬ардорд╛рди┬ардХреНрдпрд╛┬ард╣реИ?

1121 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "0"

Q:

рдпрджрд┐┬а$$cos╬╕ + cos^2╬╕= 1$$рд╣реИ,┬арддреЛ┬а$$\sqrt {sin^4╬╕+cos^2╬╕} \ $$рдХрд╛┬ардорд╛рди┬ардХреНрдпрд╛┬ард╣реИ?

978 0

  • 1
    $$\sqrt {2cos╬╕} \ $$
    Correct
    Wrong
  • 2
    $$\sqrt {2sin╬╕} \ $$
    Correct
    Wrong
  • 3
    2 cos╬╕
    Correct
    Wrong
  • 4
    2 sin╬╕
    Correct
    Wrong
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Answer : 1. "$$\sqrt {2cos╬╕} \ $$"

Q:

рдпрджрд┐┬а$$ sinA= {4\over 5}$$рд╣реИ,┬арддреЛ┬а$$sin^2A$$┬ардХрд╛┬ардорд╛рди┬ардХреНрдпрд╛┬ард╣реИ?

1007 0

  • 1
    $$16\over 25$$
    Correct
    Wrong
  • 2
    $$26\over 25$$
    Correct
    Wrong
  • 3
    $$48\over 25$$
    Correct
    Wrong
  • 4
    $$36\over 25$$
    Correct
    Wrong
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Answer : 1. "$$16\over 25$$"

Q:

рдпрджрд┐ 2sin╬╕ + 2sin2╬╕ = 2, рддреЛ 2 cos4╬╕ + 2cos2╬╕ рдХрд╛ рдорд╛рди рд╣реИ:

1204 0

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "2"

Q:

рдпрджрд┐┬аsec ╬╕ тИТ tan ╬╕┬ард╣реЛ┬арддреЛ┬аsec ╬╕ + tan ╬╕ = $$ \sqrt { 5} $$┬ардХрд╛┬ардорд╛рди┬ардЬреНрдЮрд╛рдд┬ардХреАрдЬрд┐рдП┬а

1137 0

  • 1
    $$5{1\over 5}$$
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    $$5{1\over 5}$$
    Correct
    Wrong
  • 4
    $$\sqrt { 2} \ $$
    Correct
    Wrong
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Answer : 3. "$$5{1\over 5}$$"

Q:

$${1+sin╬╕}\over cos╬╕ $$ ┬ардирд┐рдореНрдирд▓рд┐рдЦрд┐рдд рдореЗрдВ рд╕реЗ рдХрд┐рд╕рдХреЗ рдмрд░рд╛рдмрд░ рд╣реИ (рдЬрд╣рд╛рдБ┬а$$╬╕ тЙа {╧А\over2} $$)

1180 0

  • 1
    $${1+cos╬╕}\over sin╬╕ $$
    Correct
    Wrong
  • 2
    $${tan ╬╕+1}\over tan ╬╕-1 $$
    Correct
    Wrong
  • 3
    $${tan ╬╕-1}\over tan ╬╕+1 $$
    Correct
    Wrong
  • 4
    $$cos╬╕ \over {1-sin╬╕}\ $$
    Correct
    Wrong
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Answer : 4. "$$cos╬╕ \over {1-sin╬╕}\ $$"

Q:

тЦ│ABC, B рдкрд░ рд╕рдордХреЛрдг рддреНрд░рд┐рднреБрдЬ рд╣реИ рдФрд░ tan A = $$3\over 4$$, рддреЛ sin A + sin B + sin C рдЗрд╕рдХреЗ рдмрд░рд╛рдмрд░ рд╣реЛрдЧрд╛:

985 0

  • 1
    $$2{4\over 5}$$
    Correct
    Wrong
  • 2
    $$2{2\over 5}$$
    Correct
    Wrong
  • 3
    $$3{1\over 5}$$
    Correct
    Wrong
  • 4
    $$1{1\over 5}$$
    Correct
    Wrong
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Answer : 2. "$$2{2\over 5}$$"

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