Trigonometry Question and Answers Practice Question and Answer
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Q: If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?
1331 06321ad913169cb1b1567790b
6321ad913169cb1b1567790b- 1$${12\over13}$$false
- 2$${5\over13}$$true
- 3$${5\over13}$$false
- 4$${1\over5}$$false
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Answer : 2. " $${5\over13}$$"
Q: If tan $$ -{7π\over4}=x $$ then the value of x is :
1324 05e818954d063766356924b99
5e818954d063766356924b99- 1$$-{1\over2}$$false
- 2$$-{√3\over2}$$false
- 3$${√3\over2}$$false
- 41true
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Answer : 4. "1"
Q: The value of $$ {2(1-sin^{2}θ)}+{2(1-cos^{2}θ)}$$.
1323 05f76cdfee487e60dced92378
5f76cdfee487e60dced92378- 11false
- 22true
- 33false
- 44false
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Answer : 2. "2"
Q: The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:
1321 05e81724bd063766356920d18
5e81724bd063766356920d18- 1$$ {1\over 15}$$false
- 2$$ {1\over 16}$$true
- 3$$ {1\over 12}$$false
- 4None of thesefalse
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Answer : 2. "$$ {1\over 16}$$"
Q: If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?
1316 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 $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:
1315 05f40dfa24c9a9415f7cdfc3b
5f40dfa24c9a9415f7cdfc3b- 1$$ {2p^{2}{q^{2}}\over {p^{2}+{q^{2}}}}$$false
- 2$${1\over 2}\left({q\over p}+{p\over q} \right)$$true
- 3$$ {1\over {p^{2}}}+{1\over {q^{2}}}$$false
- 4$$ {p^{2}q^{2}}\over{p^{2}+q^{2}}$$false
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Answer : 2. "$${1\over 2}\left({q\over p}+{p\over q} \right)$$"
Q: If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?
1311 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: What is the simplified value of (1– sin A cos A)(sin A + cos A)?
1303 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. "$$sin^3A + cos^3A$$ "
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