Trigonometry Practice Question and Answer
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Q: Simplify $$ \sqrt{(1-sin^{2}θ) ÷(1-cos^{2}θ)}$$.
1557 05feeea39d6478d50161e794d
5feeea39d6478d50161e794d- 1Cot θtrue
- 2Tan θfalse
- 3Sec θfalse
- 4Cosec θfalse
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Answer : 1. "Cot θ"
Q: What is the simplified value of (1– sin A cos A)(sin A + cos A)?
1554 160fe3186f8986716bdf6948b
60fe3186f8986716bdf6948b- 1$$cos^2A – sin^2A$$false
- 20false
- 3$$sin^3A + cos^3A$$true
- 4$$sin^2A – cos^2A$$false
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Answer : 3. "$$sin^3A + cos^3A$$ "
Q: The value of sin222° + Sin268°+ Cot2 30° is:
1540 05f4df1da5e74bc4ee553cec8
5f4df1da5e74bc4ee553cec8- 1$$ {5\over 4}$$false
- 2$$ {3\over 4}$$false
- 34true
- 43false
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Answer : 3. "4"
Q: If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?
1539 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 x+ y=90°, then what is the value of $$ {\sqrt{cosx.cosecy-cosx.siny}}$$?
1530 05f4df2b17e85226ee745ec9c
5f4df2b17e85226ee745ec9c- 1cosxfalse
- 2sinxtrue
- 3$$ {\sqrt{sinx}}$$false
- 4$$ {\sqrt{cosx}}$$false
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Answer : 2. "sinx"
Q: If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?
1529 05dccdc38e9d33d6509c0ab1a
5dccdc38e9d33d6509c0ab1a- 1$$ {4\over\sqrt{3}}$$false
- 2$$ {2\over\sqrt{3}}$$false
- 3$$ {2\over3}$$true
- 4$$ {1\over\sqrt{3}}$$false
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Answer : 3. "$$ {2\over3}$$ "
Q: If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan2θ-sec2θ) is
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638f3486d319b37ca1828148- 10false
- 2-1true
- 3$${3\over7}$$false
- 4$${7\over3}$$false
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Answer : 2. "-1"
Q: If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:
1525 06007f30c1187ab386914c60f
6007f30c1187ab386914c60f- 1$$ {3\over 8}$$false
- 2$$ {2\over 7}$$true
- 3$$ {5\over 7}$$false
- 4$$ {3\over 5}$$false
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Answer : 2. "$$ {2\over 7}$$"
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