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sintheta=ksin(theta+phi).show that tan(t...

`sintheta=ksin(theta+phi)`.show that `tan(theta+phi)=(sinphi)/(cosphi-K)`

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If sin theta = k sin (theta + phi),"show that", tan(theta + phi) = (sin phi)/(cos phi -k).

If cos theta = n cos ( theta + 2 phi) "show that"(n+1) tan ( theta + phi)= (n-1) cot phi

sintheta+sinphi=a,costheta+cosphi=b show that tan((theta-phi)/2)=+-sqrt((4-a^2-b^2)/(a^2+b^2))

Prove that (sin(theta+phi)-2sintheta+sin(theta-phi))/(cos(theta+phi)-2costheta+cos(theta-phi))=tantheta

If cot theta = cos (x+y) "and" cot phi = cos (x-y), "show that" tan (theta- phi)=(2sin x sin y )/(cos^(2) x + cos^(2) y)

If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(theta+phi))=tanphi show that x^2/a^2+y^2/b^2=1

If x costheta+ysintheta=xcosphi+ysinphi then show that y=x tan ((theta+phi)/2)

If sin^4theta+sin^2 theta=1 show that, tan^4theta-tan^2theta=1 .

If 2 tan theta = cot phi, "show that" cos(theta - phi) = 3 cos ( theta + phi).

For any two positive acute angles theta and phi if sin(theta+phi)=k sin(theta-phi) and 33(cos2phi-cos2theta)+cos2thetacos2phi=1

UNITED BOOK HOUSE-MCQ-EXERCISE
  1. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  2. Find the domain of definition of f(x)=loge ((1-x)/(1+x)) Further show ...

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  3. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  4. Prove that tan 20^@tan 40^@ tan 60^@ tan 80^@ = 3

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  5. If a sinalpha+bcosalpha=c and a cosecalpha+bsecalpha=c show thatsin2al...

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  6. Prove that 4sin27^@=sqrt(5+sqrt5)-sqrt(3-sqrt5)

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  7. Solve :tanx+tany=1,x+y=pi//4

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  8. If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2),, then show thatangleC=60^@or120^@

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  9. Prove using principle of mathematical induction that sum of the cube t...

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  10. If x+iy=((a+ib)/(c+id))^(1//2),show that (x^2+y^2)=(a^2+b^2)/(c^2+d^2)

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  11. If one of the root of the equation px^2 + qx + r = 0 is the cube of th...

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  12. Solve graphically the following system of linear inequations - x - y l...

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  13. How many 4-digit numbers can be formed from the digits 1, 1, 2, 2, 3, ...

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  14. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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  15. If Sn be the sum of n consecutive terms of an A.P. show that S(n+4)-4S...

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  16. If n th term of a-series be (2.3^(n-1)+1),, find the sum of 1st r ter...

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  17. Show that the four straight lines xcosalpha+ysinalpha=P,xsinalpha-ycos...

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  18. Applying section formulae show that the points A(4. 7,-6), B (2, 5, -4...

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  19. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  20. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

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