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If theta+phi=60^@,then show that sin(120...

If `theta+phi=60^@`,then show that `sin(120^@-theta)=cos(30^@-phi)`

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If theta + phi = 60^(@) , show that, sin (120^(@) - theta) = cos (30^(@) - phi) .

If 0^@lethetale90^@ then show that sin theta+ cos theta>1 .

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If tantheta=cos30^@+sin60^@ , then sin(90^@-theta) is :

If the sides of a triangle are in A.P. and the greater and the least angles are theta and phi respectively, then show that, 4(1-cos theta)(1-cos phi) = cos theta +cos phi

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UNITED BOOK HOUSE-HARE SCHOOL-EXERCISE
  1. Find the minimum value of Cos^2theta+sec^2theta

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  2. If theta+phi=60^@,then show that sin(120^@-theta)=cos(30^@-phi)

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  3. Prove that tan62^@=2tan34^@+tan28^@

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  4. If |z+2|le2,find the maximum and minimum values |z|.

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  5. Show that the roots of (b+c)x^2-(a+b+c)x+a=0are rational .where a,b,c ...

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  6. The sum of n terms of an A.P is n^2.Find the common difference.

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  7. If three equal positive numbes a,b,c are in G.P,then show that a+c>2b

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  8. For what value(S)of K the point (1,-1),(2,1) and (K,5) lie on the same...

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  9. (at^2,2at)is a point on the line 2x-5y+12a=0,from this find the co-ori...

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  10. Find the angle between the two lines x-sqrt3y=3and sqrt3x-y+1=0

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  11. Evaluate: underset(x rarr 0)(lim)(3^(x)-1)/((4+x)^(1/2)-2)

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  12. What is the probability of obtaining 7 points with the rolling of two ...

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  13. Show that the equation of straight line xcosalpha+ysinalpha=p can be e...

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  14. If G is the G.M between two positive numbers a and b.show that 1/(G^2-...

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  15. Three positive numbers a,b,c are in A.P prove that 1/(sqrtb+sqrtc),1/(...

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  16. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

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  17. If the roots of the equation p(q-r)x^2+q(r-p)x+r(p-q)=0 be equal ,show...

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  18. Solve :barz=iz^2(z being a complex number)

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  19. if alpha,beta,gamma are in A>P show that cot=(sinalpha-singamma)/(cosg...

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  20. Prove that (1)/(2sin10^(@))-2sin70^(@)=1.

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