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If a=s e ctheta-t a ntheta and b=cos e c...

If `a=s e ctheta-t a ntheta` and `b=cos e ctheta+cottheta` , then show that `a b+a-b+1=0.`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

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  2. If 10sin^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8s...

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  3. If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show tha...

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  4. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

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  5. If Tn=sin^ntheta+cos^ntheta , prove that (i) (T3-T5)/(T1)=(T5-T7)/(T...

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  6. Prove that: sqrt((1-sintheta)/(1+s intheta))+sqrt((1+sintheta)/(1-s in...

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  7. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  8. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

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  9. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2)-n^2=4sqr...

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  10. Prove that: s e c^2theta+cos e c^2thetageq4 .

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  11. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

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  12. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

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  13. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

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  14. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

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  15. Is the following inequality correct? sin1^0> sin1

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  16. If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<...

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  17. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

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  18. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

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  19. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

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  20. If (3pi)/4 lt alpha lt pi, then sqrt(2cotalpha+1/(sin^2alpha)) is equ...

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