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If sectheta+tantheta=p , obtain the val...

If `sectheta+tantheta=p ,` obtain the values of `sectheta,tantheta and sintheta` in terms of `p` .

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To solve the problem, we start with the given equation: \[ \sec \theta + \tan \theta = p \] ### Step 1: Use the identity for secant and tangent We know the identity: ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If Tn=sin^nx+cos^nx , prove that (i) 2T6-3T4+10=0

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  2. Prove that: sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sint...

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

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

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

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  6. Prove that: s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ .

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

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

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

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

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  11. Which of the following is correct? s in1^0> s in1 (b) s in1^0<s in1 ...

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

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

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

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  15. If cos e cx+cotx=(11)/2 , then t a nx= (a)(21)/(22) (b) (15)/(16) (...

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  16. If (3pi)/4ltalphaltpi, t h e nsqrt(2cotalpha+1/(sin^2alpha)) is equal ...

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  17. If x=rsinthetacosphi,y=rsinthetasinphi and z=rcostheta, then x^2+y^2+...

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  18. If sintheta+costheta=0 and theta lies in the fourth quadrant, find si...

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  19. Prove that: sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sintheta)/(1-sinth...

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  20. Prove that: cos((3pi)/2+x)cos(2pi+x){cot((3pi)/2-x)+"cot"(2pi+x)}=1

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