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Show that sectheta+tantheta=tan(pi/4+the...

Show that` sectheta+tantheta=tan(pi/4+theta/2)`

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

tan3theta + tantheta = 2tan 2theta

tan 3theta = tan 2theta + tantheta

Prove that, tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 theta

Prove the following identities: tan theta tan(pi/3 + theta) tan(pi/3 - theta) = tan 3 theta

Prove that (cos2theta)/(1+sin2theta)=tan(pi/4-theta) .

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

sin^(3)theta = tan2theta + tantheta

Show that 1/3le(sec^2theta-tantheta)/(sec^2theta+tantheta)le3

Solve 4costheta-3sectheta=tantheta

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. (A^c cup A)^c=phi is the relation true of false? Give reason.

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  2. If the realtion R defined as the set S = {1.-2, 3, 4},,AA,a,b in s,aRb...

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  3. Show that sectheta+tantheta=tan(pi/4+theta/2)

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  4. In /\ABC, if a = 3. b = 5 and c =7, show that the triangle is obtused.

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  5. If | z + 2 | + | z - 2 | le 6, find the maximum value of I z I.

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  6. If m=^nC2show that ^mC2=3^(n+1)C4

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  7. If a+b=3,then show that the minimum value of |a+ib|=is 3/sqrt2

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  8. Find the sum of the following infinite G.P series 0.9+0.81+0.792+….

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  9. Show that the distance between (1,-1) and ((2m^2)/(1+m^2),(1-m)^2/(1+m...

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  10. Find the radius of sphere passing through (2,0,1) and having centre(0,...

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  11. Prove that lim(xrarroo)(1+1/x)^x=e

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  12. For all real values of x and y, if f(x+y)=f(x)f(y), f(5)=4, f'(0)=2, f...

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  13. IfP(A)=1/2,P(B)=1/3)and P(A capB)=1/4find (A 'capB')

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  14. In.an examination. 50%of the condidates have passed in mathematics 50%...

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  15. If A,B,(A - B)are positive acute angles, then prove that geometrically...

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  16. Show thatcos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

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  17. Show that a^6+a^4+a^2+1=0,when a=1/sqrt2(1+i)

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  18. Prove by mathematical induction:(3^(4n+1)+2^(2n+2))is divisible by 7.

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  19. Show that the co-efficient of the middle term of the expansion of(1+x)...

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  20. If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...

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