Trigonometry Practice Question and Answer
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Q: The value of $$ {(sec^{2}θ+tanθ\cotθ-tan^{2}θ)}$$
945 05feeea721f464d740159faae
5feeea721f464d740159faae- 11false
- 22true
- 30false
- 44false
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Answer : 2. "2"
Q: Simplify $$ \sqrt{(1-sin^{2}θ) ÷(1-cos^{2}θ)}$$.
941 05feeea39d6478d50161e794d
5feeea39d6478d50161e794d- 1Cot θtrue
- 2Tan θfalse
- 3Sec θfalse
- 4Cosec θfalse
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Answer : 1. "Cot θ"
Q: If tan (11 θ)=cot (7θ), then what is the value of sin2(6 θ) + Sec2 (9 θ) + cosec2(12 θ)?
1284 05fc0e22d96415e6951a99e17
5fc0e22d96415e6951a99e17- 1$$ {23\over 6}$$false
- 2$$ {35\over 12}$$false
- 3$$ {31\over 12}$$false
- 4$$ {43\over 12}$$true
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Answer : 4. "$$ {43\over 12}$$"
Q: If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?
868 05fbf73c64f2f6c622be747fa
5fbf73c64f2f6c622be747fa- 1$$ {2\sqrt{3}+1\over {2}}$$true
- 2$$ {3\sqrt{2}}$$false
- 3$$ {3\sqrt{3}+1\over {2}}$$false
- 4$$ {\sqrt{3}+2\over 2}$$false
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Answer : 1. "$$ {2\sqrt{3}+1\over {2}}$$"
Q: If $$ {\sqrt{3}\ CosA=SinA}$$ then what is the value of Cot A?
1030 05f97fe1ced7fc21d78dd070e
5f97fe1ced7fc21d78dd070e- 1$$ {\sqrt{3}}$$false
- 2$$ {2\over {\sqrt{3}}}$$false
- 3$$ {1\over {\sqrt{3}}}$$true
- 42false
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Answer : 3. "$$ {1\over {\sqrt{3}}}$$"
Q: If $$ {sin\ θ\ cosec\ θ\over tan θ}=4 $$ then Find the value of tan θ ?
908 05f97fdabd433054b5c8aecd5
5f97fdabd433054b5c8aecd5- 14false
- 2$$ {1\over 4}$$true
- 33false
- 45false
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Answer : 2. "$$ {1\over 4}$$"
Q: Solve the given equation.
$$ {{cot \ 30°}\over {1+sin\ 45°}}+{{1+sin\ 45°}\over cot \ 30°}=?$$
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5f96bdd6d8201a50c263815f$$ {{cot \ 30°}\over {1+sin\ 45°}}+{{1+sin\ 45°}\over cot \ 30°}=?$$
- 1$$ {5\sqrt{3}}-{6\sqrt{6}}\over 6$$false
- 2$$ {3-2\sqrt{3}}$$false
- 3$$ {14\sqrt{3}}-{5\sqrt{6}}\over 6$$true
- 4$$ {6\sqrt{6}}-{5\sqrt{3}}\over 6$$false
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Answer : 3. "$$ {14\sqrt{3}}-{5\sqrt{6}}\over 6$$"
Q: Find the value of $$ {\sqrt{(cos^{2}20°+cos^{2}70°)}}$$
980 05f881866f28f4b47be27e642
5f881866f28f4b47be27e642- 10false
- 2$$ {2\over{\sqrt{3}}}$$false
- 31true
- 4$$ {\sqrt{3}\over2}$$false
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Answer : 3. "1"
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