If (cosecalpha-1)(cosecbeta-1)(cosecgamm...

If `(cosecalpha-1)(cosecbeta-1)(cosecgamma-1)=(cosecalpha+1)(cosecbeta+1)(cosecgamma+1),` show that each side is equal to `pm cotalpha cotbeta cot gamma` .

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If (1+sin alpha)(1+sinbeta)(1+singamma)=(1-sinalpha)(1-sinbeta)(1-singamma) , show that each side is equal to pm cotalpha cotbeta cotgamma .

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2

Eliminate theta in each of the following : sintheta -cos theta=a, ...
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If 7sin ^2theta +3cos^2theta =4, prove that, tan theta =pm1/sqrt(3) .
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Find the minimum value of cos^4 theta+sin^2 theta.
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If p tan theta=tan p theta , show that, (sin^2p theta)/(sin^2theta)=(p...
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If (1+sin alpha)(1+sinbeta)(1+singamma)=(1-sinalpha)(1-sinbeta)(1-sing...
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If (cosecalpha-1)(cosecbeta-1)(cosecgamma-1)=(cosecalpha+1)(cosecbeta+...
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Eliminate theta each of the following : l1cos theta+m1sin theta+n1=0...
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Eliminate theta each of the following : asec theta +btan theta+c=0,...
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Eliminate theta each of the following : cos^3 theta +3costhetasin^2...
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If tan theta+sin theta=m and tan theta-sin theta=n, prove that, mn=tan...
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If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3), then ...
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If (sin^4theta)/x+(cos^4theta)/y=1/(x+y), show that ,(sin^(2m+2)theta)...
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If cosec alpha+cot alpha=2+sqrt(5) , show that, cosalpha=2/sqrt(5).
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Prove that cos^2A-sin^2A = (1-tan^2A)/(1+tan^2A).
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If a sin x =bcos x=(2ctanx)/(1-tan^2x), prove that, (a^2-b^2)^2=4c^2(a...
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If costheta =(cosalphacosbeta)/(1+sin alpha sin beta), show that , sin...
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If (cos^4x)/(cos^2y)+(sin^4x)/(sin^2y)=1,"show taht", (cos^4y)/(cos^2x...
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If cosec x =cosec y cosec z+cot y cot z, prove that cosec y=cosec z co...
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If (xcos theta)/a+(ysin theta)/b=1 and (ax)/(cos theta)-(by)/(sin thet...
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Find the principal value of tan^-1(-1/sqrt3)
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