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Prove that: ("cos"(2pi+theta)"c o s e c"...

Prove that: `("cos"(2pi+theta)"c o s e c"(2pi+theta)"tan"(pi//2+theta))/("sec"(pi//2+theta)costheta"cot"(pi+theta))=1`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: ("cos"(2pi+theta)"c o s e c"(2pi+theta)"tan"(pi//2+theta))...

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  2. Prove that: (sin(180^0+theta)cos(90^0+theta)t a n(270^0-theta)cot(360...

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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)sin(-theta))/(sin(180^...

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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^2(pi/6)+cos^2(pi/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=6

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  9. Prove that: 2sin^2(pi/6)+cosec^2((7pi)/6)cos^2(pi/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 sinthetaa n dt a nthetaifcostheta=-(12)/(13)andtheta lies in the ...

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

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

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

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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=4sqr...

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