Trigonometry Practice Question and Answer
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64abd872299b7896000b39a6 Answer : 3. "
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Q: If cosec 39°= x, the value of $$ {1\over {cosec^{2}{51°}}} +sin^{2} 39^{°}+tan^{2}{51^{°}}-{1\over {sin^{2}{51^{°}}}{Sec^{2}{39^{°}}}}$$ is-
1579 05f5afb66b772fe2f8b286d6e
5f5afb66b772fe2f8b286d6e- 1$$ {\sqrt{x^{2}-1}}$$false
- 2$$ {\sqrt{1-x^{2}}}$$false
- 3$$ {x^{2}-1}$$true
- 4$$ {1-x^{2}}$$false
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Answer : 3. "$$ {x^{2}-1}$$"
Q: Select the INCORRECT formula from the following options.
1576 064abd872299b7896000b39a6
64abd872299b7896000b39a6- 1false
cosec2θ - cot2θ=1
- 2false
sin2θ + cos2θ=1
- 3true
sec2θ + cos2θ=1
- 4false
sec2θ – tan2θ=1
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Answer : 3. "sec2θ + cos2θ=1
"
Q: If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?
1576 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 A=n tan B and Sin A= m Sin B, then the value of Cos2A is
1564 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 $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:
1564 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 $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:
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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: $$ {tan^2θ}$$ is equal to:-
1545 05efeb11c7228dd6b06e74e29
5efeb11c7228dd6b06e74e29- 1$$ {1\over cot^2{θ}}$$true
- 2$$ {1\over sin^2{θ}}$$false
- 3$$ {1\over cosec^2{θ}}$$false
- 4$$ {1\over sec^2{θ}}$$false
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Answer : 1. "$$ {1\over cot^2{θ}}$$"
Q: The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:
1542 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. "$$ {1\over 16}$$"
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