Trigonometry Question and Answers Practice Question and Answer

Q:

What is the simplification value of $${cotA+tanB}\over{cotB+tanA}$$?

777 0

  • 1
    tanAcotB
    Correct
    Wrong
  • 2
    tanBcotA
    Correct
    Wrong
  • 3
    tanAtanB
    Correct
    Wrong
  • 4
    cotAcotB
    Correct
    Wrong
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Answer : 2. "tanBcotA"

Q:

The value of $$ {(cos {\ 9°}+sin{\ 81°}})({sec {\ {9°}+cosec{\ 81°}}})\over{sin{\ 56°}sec{\ 34° }}+ {cos{\ 25°}cosec{\ 65°}}$$ is:

772 0

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

Q:

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

771 1

  • 1
    $$cos^2A – sin^2A$$
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    $$sin^3A + cos^3A$$
    Correct
    Wrong
  • 4
    $$sin^2A – cos^2A$$
    Correct
    Wrong
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Answer : 3. "$$sin^3A + cos^3A$$ "

Q:

Find the value of (cosA - sinA)2 + (cosA + sinA)2   -

767 0

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

Q:

The value of $$ {tan\ 40°+tan\ 20° +\sqrt{3}\ tan20° tan40°}$$?

751 0

  • 1
    $$ {\sqrt{12}}$$
    Correct
    Wrong
  • 2
    $$ {1\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    $$ {\sqrt{3}}$$
    Correct
    Wrong
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Answer : 4. "$$ {\sqrt{3}}$$"

Q:

Which of the following values suits for A to make the equation  $$ {{ATan62°Sec 28°Cot 38°}\over {Cosec62°Tan11°}}=1$$ ?

748 0

  • 1
    $$ {{Tan38°Tan79°}\over {Tan 28°}}$$
    Correct
    Wrong
  • 2
    $$ {{Tan28°Tan38°}\over {Tan 79°}}$$
    Correct
    Wrong
  • 3
    $$ {{Tan38°}\over {Tan 79°Tan28°}}$$
    Correct
    Wrong
  • 4
    $$ {{Tan28° Tan 79°}\over { Tan38°}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{Tan28°Tan38°}\over {Tan 79°}}$$"

Q:

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

729 0

  • 1
    $${\sqrt{B-2\over2-A}}$$
    Correct
    Wrong
  • 2
    $${\sqrt{B-1\over2-A}}$$
    Correct
    Wrong
  • 3
    $${\sqrt{B-1\over A-2}}$$
    Correct
    Wrong
  • 4
    $${\sqrt{2-B\over 2-A}}$$
    Correct
    Wrong
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Answer : 2. "$${\sqrt{B-1\over2-A}}$$"

Q:

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

727 0

  • 1
    $$ {a\over {a^{2}+b^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {b\over {a^{2}+b^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {a^{2}-b^{2}\over {a^{2}+b^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}+b^{2}\over {a^{2}-b^{2}}}$$
    Correct
    Wrong
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Answer : 4. "$$ {a^{2}+b^{2}\over {a^{2}-b^{2}}}$$"

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