Trigonometry Question and Answers Practice Question and Answer
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Q: If $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:
1267 05f058db23f7f070477919df3
5f058db23f7f070477919df3- 1$$ 3\over{\sqrt{5}}$$true
- 2$$ {\sqrt{5}}$$false
- 3$$ 7\over{\sqrt{5}}$$false
- 4$$ 1\over{\sqrt{5}}$$false
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Answer : 1. "$$ 3\over{\sqrt{5}}$$"
Q: If Cos A + Cos2 A = 1, then Sin2 A + Sin4 A=?
1265 06099029ec4aedb3e80669631
6099029ec4aedb3e80669631- 10false
- 21true
- 3$$ {1\over 2}$$false
- 4-1false
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Answer : 2. "1"
Q: If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?
1258 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: Simplify $$ \sqrt{(1-sin^{2}θ) ÷(1-cos^{2}θ)}$$.
1254 05feeea39d6478d50161e794d
5feeea39d6478d50161e794d- 1Cot θtrue
- 2Tan θfalse
- 3Sec θfalse
- 4Cosec θfalse
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Answer : 1. "Cot θ"
Q: $$ {3tan^{2}30°}-{4\over 3}{sin^{2}60°}- {1\over2}{cosec^{2}45°}+{4\over3}{sin^{2}90°=?}$$
1251 05f76cd32e487e60dced9212c
5f76cd32e487e60dced9212c- 1$$ {2\over3}$$false
- 2$$ {1\over3}$$true
- 3$$ {4\over3}$$false
- 4$$ {5\over4}$$false
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Answer : 2. "$$ {1\over3}$$"
Q: What is the simplified value of (1– sin A cos A)(sin A + cos A)?
1250 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: If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is
1247 05f4df246081699374e855fcf
5f4df246081699374e855fcf- 1$$ {m^{2}+1\over {n^{2}+1}}$$false
- 2$$ {m^{2}+1\over {n^{2}-1}}$$false
- 3$$ {m^{2}-1\over {n^{2}-1}}$$true
- 4$$ {m^{2}-1\over {n^{2}+1}}$$false
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Answer : 3. "$$ {m^{2}-1\over {n^{2}-1}}$$"
Q: If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?
1247 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. "$$ {2\sqrt{3}+1\over {2}}$$"
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