Trigonometry Practice Question and Answer
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Q: If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$
467 064c21c6329beb3482a351e7c
64c21c6329beb3482a351e7c- 1$$3\sqrt { 2}$$false
- 2$$2-\sqrt { 3}$$true
- 3$$2\sqrt { 3}$$false
- 4$$2+\sqrt { 3}$$false
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Answer : 2. "$$2-\sqrt { 3}$$ "
Q: $$sinθ[(1-tanθ)tanθ+sec^2θ]\over (1-sinθ)tanθ(1+tanθ)(secθ+tanθ)$$ is equal to:
384 064c2159fa4dbfb486bc95d53
64c2159fa4dbfb486bc95d53- 1cosecθsecθfalse
- 2-1false
- 31true
- 4sinθcosθfalse
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Answer : 3. "1"
Q: if $${secθ={a\over b},b≠0,then \ {{1-tan^2θ}\over 2-sin^2θ} }=?$$
384 064bf7b3f874e2103e8d3d73a
64bf7b3f874e2103e8d3d73a- 1$${b^2(2b^2-a^2)}\over {a^2(a^2+b^2)}$$false
- 2$${a^2(2b^2-a^2)}\over {b^2(a^2+b^2)}$$true
- 3$${a^2(2b^2+a^2)}\over {b^2(a^2+b^2)}$$false
- 4$${a^2(2b^2+a^2)}\over {b^2(a^2-b^2)}$$false
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Answer : 2. "$${a^2(2b^2-a^2)}\over {b^2(a^2+b^2)}$$"
Q: $$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$
449 064bf7b8488d5e4f52df2abf6
64bf7b8488d5e4f52df2abf6- 1sinθcosθfalse
- 2sinθtanθfalse
- 3secθcosecθtrue
- 4cosecθcotθfalse
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Answer : 3. "secθcosecθ"
Q: In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?
402 064ba70ef568e7ff594c2768d
64ba70ef568e7ff594c2768d- 1$${2\over 7} $$false
- 2$$-{2\over 3}$$false
- 3$$-{2\over 7}$$true
- 4$${2\over 7}$$false
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Answer : 3. " $$-{2\over 7}$$"
Q: If sin 3A=cos(A+100), where 3A is an acute angel, then what is the value of $$2cosec{3A\over2}+6sin^23A-{3\over 2}tan^2\ 3A$$?
334 064ba2c5823047f4c71d0577c
64ba2c5823047f4c71d0577c- 14true
- 2$$7\over 4$$false
- 35false
- 4$$17\over 2$$false
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Answer : 1. "4"
Q: The value of $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is
365 064ba2c152d3130f5754291e9
64ba2c152d3130f5754291e9- 1$$-2\sqrt { 3}-2$$false
- 2$$-3(2+\sqrt { 3})$$true
- 3$$3(2+\sqrt { 3})$$false
- 4$$2\sqrt { 3}-2$$false
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Answer : 2. " $$-3(2+\sqrt { 3})$$"
Q: cosA(sec A – cosA)(cotA+tanA)=?
406 064ba2bd7c3da05b2213dbea7
64ba2bd7c3da05b2213dbea7- 1tan Atrue
- 2cot Afalse
- 3sec Afalse
- 4sin Afalse
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Answer : 1. "tan A"
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