|{:(2costheta,1,0),(1,2costheta,1),(0,1,...

`|{:(2costheta,1,0),(1,2costheta,1),(0,1,2costheta):}|=(sin4theta)/(sintheta)[thetanen pi]`

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(1+sintheta-costheta)/(1+sintheta+costheta) =

If f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta," "0):}| , then find the value of f((pi)/6) .

Evalute : |{:(cos^2 theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to

The solution of the equation |(costheta,sintheta,costheta),(-sintheta,costheta,sintheta),(-costheta, -sintheta,costheta)|=0 is -

Evaluate intcos2theta log((costheta+sintheta)/(costheta-sintheta))d theta

int(cos2theta)/((sintheta+costheta)^2)d theta is equal to

if costheta_1+costheta_2+costheta_3=3 then sin^2theta_1+sin^4theta_2+sin^6theta_3=

. Let f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(sinthetacostheta,sin^2theta,costheta),(sintheta,-costheta,0):}|,"find" f(pi/3) .

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B

|{:(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b):}|=8abc
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|{:(" "a^2," "bc,c^2+ca),(a^2+ab," "b^2," "ca),(" "ab,b^2+bc," "c^2...
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|{:(2costheta,1,0),(1,2costheta,1),(0,1,2costheta):}|=(sin4theta)/(sin...
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|{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}|=(b^2-ac)(ax^2+2bxy+cy^2)
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|{:(3x^2,3x,1),(x^2+2x,2x+1,1),(2x+1,x+2,1):}|=(x-1)^3
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|{:(x+y+z," "-z," "-y),(" "-z,x+y+z," "-x),(" "-y," "-x...
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|{:(1,1,1),(""^(n)c1,""^(n+1)c1,""^(n+2)c1),(""^(n+1)c2,""^(n+2)c2,""^...
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|{:(x+y+z," "-z," "-y),(" "-z,x+y+z," "-x),(" "-y," "-x...
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|{:(cos(x+y),sin(x+y),-cos(x+y)),(sin(x-y),cos(x-y),sin(x-y)),(sin2x,0...
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prove that, |{:(0,cosalpha,-sinalpha),(sinalpha,0,cosalpha),(cosalpha,...
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If a ,b ,c are in A.P , show that , |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+...
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If A,B,C , are the angles of a triangles, show that, |{:(sin^2A,coaA,1...
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without expanding prove that [22-24] |{:(7,12,-3),(9,14,-1),(8,13,-2...
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|{:(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b)):}|=0
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|{:(logx xyz,logxy,logxz),(logyxyz,1,logyz),(logzxyz,logzy,1):}|=0
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if |{:(a+ib,c+id),(-c+id,a-ib):}|xx|{:(alpha-ibeta,gamma-idelta),(-gam...
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|{:(-a(b^2+c^2-a^2)," "2b^3," "2c^3),(" ...
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Show that |{:(x-3,x-4,x-alpha),(x-2,x-3,x-beta),(x-1,x-2,x-gamma):}|=0...
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If a, b, c, are real numbers such that |{:(b+c,c+a,a+b),(c+a,a+b,b+c...
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Show that , |{:((a^2+b^2)/c," "c," "c),(" "a,(b^2+c^2)/a," "a),(" "b,"...
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