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Prove that: (cos e c(90^0+theta)+cot(45...

Prove that: `(cos e c(90^0+theta)+cot(450^0+theta))/(cos e c(90^0-theta)+t a n(180^0-theta))+(t a n(180^0+theta)+s e c(180^0-theta))/(t a n(360^0+theta)-s e c(-theta))`=2

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To prove the given expression: \[ \frac{\csc(90^\circ + \theta) + \cot(450^\circ + \theta)}{\csc(90^\circ - \theta) + \tan(180^\circ - \theta)} + \frac{\tan(180^\circ + \theta) + \sec(180^\circ - \theta)}{\tan(360^\circ + \theta) - \sec(-\theta)} = 2 \] we will simplify each term step by step. ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Find ("cos"(2pi+theta)"c o s e c"(2pi+theta)"tan"(pi//2+theta))/("sec"...

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  2. Find the value of (sin(180^0+theta)cos(90^0+theta)t a n(270^0-theta))...

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  3. Prove that: (cos e c(90^0+theta)+cot(450^0+theta))/(cos e c(90^0-thet...

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  4. Prove that: (t a n(90^0-theta)s e c(180^0-theta)s in(-theta))/(s in(18...

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  5. Prove that: {1+cottheta-s e c(pi/2+theta)}{1+cottheta+s e c(pi/2+theta...

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  6. Prove that: 2sin^2(3pi/4)+2cos^2(pi/4)+2sec^2(pi/3)=10

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  7. Prove that: sin^2pi/6+cos^2pi/3-t a n^2pi/4=-1/2

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  8. cot^2 pi/6 +cose c (5pi)/6 +3tan^2 pi/6 equals to

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  9. Prove that: 2s in^2pi/6+cos e c^2(7pi)/6cos^2pi/3=3/2

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  10. Find all other trigonometrical ratios if sintheta=-(2sqrt(6))/5 andth...

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  11. Find sintheta + t a nthetaifcostheta=-(12)/(13)a n d theta lies i...

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  12. If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

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

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

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  15. If cotx(1+sinx)=4m andcotx(1-sinx)=4n , prove that (m^2-n^2)^2=m n .

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  16. If Tn=sin^nx+cos^nx , prove that (i) 2T6-3T4+10=0

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

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

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

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

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