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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-KALIDHAN INSTITUTION-EXERCISE
  1. What is the chance that a leap year selected at random will contain 53...

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  2. sinalpha+sinbeta=aand cosalpha+cosbeta=bprove that ,tan((alpha-beta)/2...

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

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  4. Prove by the principle of mathematical induction that.4^n+15n-1is a mu...

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  5. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  6. In a machine,there is a password of five characters of which the first...

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  7. If the term independetn of x in the expansion of (k/3x^2-3/(2x))^9be 2...

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  8. Find the sum :3.1^2+4.2^2+5.3^2+....upto n terms.

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  9. A straight line passes through the point (2,3) and is such that the po...

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  10. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  11. The sum of the distances of a moving point from the points (c,0)and (-...

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  12. If the sum of first n terms of a G.P is p and the sum of the first 2n ...

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  13. The roots of the equation x^2+3x+4=0are alphaand beta.Form the equati...

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  14. Foe any two events A and B prove that ,P(A)geP(AcapB)geP(A)+P(B)-1

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  15. Two fair dice are thrown simultaneously .The two scores are then multi...

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  16. Find the maximum and minimum values of 3sintheta+4costheta+5

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  17. Find the locus of a point which forms a triangle of area 21 square uni...

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  18. Show that sin16^@+cos16^@=1/sqrt2(sqrt3cos1^@+sin1^@)

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  19. Sin A=m sin B,show that ,tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

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  20. Exhibit graphically the solution sets of the following system of linea...

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