Trigonometry Practice Question and Answer
8 4 Q:
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5f06dd933f7f07047795e991 Answer : 2. "$$ tanθ+cotθ$$"
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Q: If $$ {2sinθ-cosθ\over cosθ+sinθ}=1 $$ then the value of Cotθ is
1562 05eec947d13d72d584fb8c8c7
5eec947d13d72d584fb8c8c7- 1$$ {1\over4}$$false
- 2$$ {1\over2}$$true
- 3$$ {1\over3}$$false
- 4$$ {2\over3}$$false
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Answer : 2. "$$ {1\over2}$$"
Q: $$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$
1551 05f06dd933f7f07047795e991
5f06dd933f7f07047795e991- 1$$ {tan^2{θ}}+cot^2{θ}$$false
- 2$$ tanθ+cotθ$$true
- 3$$ sinθ+cosθ$$false
- 4None of thesefalse
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Answer : 2. "$$ tanθ+cotθ$$"
Explanation :
$$ \sqrt {sec^2{θ}+cosec^2{θ}}$$
We know that
$$ {1+tan^2{θ}}={sec^2θ}$$
$$ {1+cot^2{θ}}={cosec^2{θ}}$$
$$ \sqrt {1+tan^2{θ}+1+cot^2{θ}}$$
Q: $$ sin^2 5° + sin^2 10°+sin^2 15°+.....sin^2 85°+sin^2 90°$$ is equal to
1516 05e7d9ed3964aff79eb57fa01
5e7d9ed3964aff79eb57fa01- 1$$ {17\over2}$$false
- 2$$ {19\over2}$$true
- 3$$ {21\over2}$$false
- 4$$ {18\over2}$$false
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Answer : 2. "$$ {19\over2}$$"
Q: If x tan45° cos30° = sin30° cos45°, then x is equal to -
1503 05ebb7011c1aae5429b38e67a
5ebb7011c1aae5429b38e67a- 1$${1\over\sqrt { 3} \ } $$false
- 2$${1\over\sqrt { 6} \ } $$true
- 3$${1\over\sqrt { 2} \ } $$false
- 4$${2\over\sqrt { 3} \ } $$false
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Answer : 2. "$${1\over\sqrt { 6} \ } $$"
Q: Find the value of $$\left({sin 35°\over cos55°} \right)^2+\left({cos55°\over sin 35°} \right)^2 \ -2 sin^{3}30°$$
1473 05ef04da781a47f2e7ae446be
5ef04da781a47f2e7ae446be- 1$${7\over5}$$false
- 2$${7\over4}$$true
- 30false
- 4$${5\over7}$$false
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Answer : 2. "$${7\over4}$$"
Q: If $$ {2\ sinθ-cos θ\over {cosθ+sinθ}}=1$$, then value of cotθ is:
1463 05f5afe6d4d383e58c6b6f5f3
5f5afe6d4d383e58c6b6f5f3- 1$$ {1\over2}$$true
- 2$$ {1\over3}$$false
- 33false
- 42false
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Answer : 1. "$$ {1\over2}$$"
Q: Find the value of (cosA - sinA)2 + (cosA + sinA)2 -
1423 060ae1d553ac44b3ce011f604
60ae1d553ac44b3ce011f604- 10false
- 21false
- 32true
- 43false
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Answer : 3. "2"
Q: If cos3A = X, then value of X?
1418 05ecf38f579d67a247e48737f
5ecf38f579d67a247e48737f- 14cos3A + 3cosAfalse
- 23cosA – 4cos3Afalse
- 3cosA + 4cos3Afalse
- 44cos3A – 3cosAtrue
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Answer : 4. "4cos3A – 3cosA"
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