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Trigonometry : Truly difficult Practice Questions. . .

hemang

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8 Sep 2011 12:21:58 IST

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8 Sep 2011 12:21:58 IST

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Trigonometry : Truly difficult Practice Questions. . .

Engineering Entrance , JEE Main , BITSAT , JEE Advanced , KCET (Engg) , MANIPAL UGET (Engg) , SCRA , TANCET , UPSEE , VITEEE , VITMEE , Mathematics , Trigonometry , academic , Maths

these are too good question. remember to rate me if you like these. :-)

Q) If $a$ and $b$ are positive integers such that

$sqrt{8+sqrt{32+sqrt{768}}}=acos{ rac{pi}{b}}$ ,

compute the ordered pair $(a,b)$ .

Q) Find y :

$rac{4cos^2(y)cos(3y) + 8cos(y)sqrt{cos(y)} + 6cos(y)cos(2y) + 14sqrt{cos(y)} + 16}{8cos(y)cos(5y) + 22sqrt{cos(y)} + cos...$

Q) Find the value of $A$
$csc rac{pi}{32}+csc rac{pi}{16}+csc rac{pi}{8}+csc rac{pi}{4}+csc rac{pi}{2}=cotApi$

Q) Prove that
$an{ rac{2pi}{13}}+4sin{ rac{6pi}{13}}=sqrt{13+2sqrt{13}}$

Q) Prove that if $0<x<pi/2$ , then $sec^6 x+csc^6 x+(sec^6 x)(csc^6 x)geq 80$ .

Q) Calculate
$tan left( rac{3 pi}{11}ight)+ 4sinleft( rac{2pi}{11}ight)$

Q) evaluate :

$cos( rac{pi}{7}) + cos( rac{2pi}{7}) + ....... + cos( rac{6pi}{7})$

Q) evaluate :

$sqrt[3]{cos( rac{2pi}{7})}+sqrt[3]{cos( rac{4pi}{7})}+sqrt[3]{cos( rac{8pi}{7})}=?$

Q) Solve the equation $sin 5x + cos 5x = cos 13x$

Q) Evaluate: $4cos 18^{circ}-3sec 18^{circ}-2 an 18^{circ}$

Q) solve for x $(cosx)^n-(sinx)^n=1,$ where $nin mathbb {N}$ .

Q) Find the value of:

$cosleft ( rac{2pi}{13} ight ) + cosleft ( rac{6pi}{13} ight ) + cosleft ( rac{8pi}{13} ight )$

Prove that :

$cos rac{pi}{2005} + cos rac{3pi}{2005} + cos rac{5pi}{2005} + ldots + cos rac{2003 pi}{2005} = rac{1}{2}$

Q) $(1+tan 1^circ)(1+tan 2^circ)(1+tan 3^circ)....(1+tan 45^circ)=2^n,$ find $n.$

Prove that $sin{1^circ}+cos{1^circ}otinmathb{Q}$ .

here Q stands for the set of rational numbers.

source : www.artofproblemsolving.com

Comments (2)

darshana bhagat

New kid on the Block

Joined: 21 Aug 2011 22:33:58 IST

Posts: 4

10 Sep 2011 11:48:31 IST

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these are really good questions. do u have answers of these

alok vats

Scorching goIITian

Joined: 1 Jun 2011 05:26:27 IST

Posts: 207

11 Sep 2011 17:32:57 IST

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Yeah !! do u have answers of these questionzz ;-)

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