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Prove that:cos 570^0sin 510^0+sin(-330^0...

Prove that:`cos 570^0sin 510^0+sin(-330^0)cos(-390^0)=0`

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If cos theta=-(1)/(2) and piltthetalt(3pi)/(2) , then find the value of 4 tan^(2)theta-3cos ec^(2)theta . Prove that, cos 570^(@) sin510^(@)+sin(-330^(@))cos(-390^(@))=0

Prove that: \ sin 50^0+sin 10^0=cos 20^0

Prove that: cos510^0cos 330^0+sin 390^0cos 120^0=-1.

Prove that: (a) cos510^(@) sin510^(@) + sin(-330^(@)) cos(-390^(@))=0 b) tan(11pi)/(3) -2sin(9pi)/3-3/4"cosec"^(2)pi/4 + 4cos^(2)(17pi)/6=(3-2sqrt(3))/2

Prove that: sin 80^0-cos 70^0=cos 50^0

Prove that: sin780^0sin 120^0+cos 240^0sin390^0=1/2

Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

Prove that: cos 100^0+cos 20^0=cos 40^0

Prove that: sin 40^0+sin 20^0=cos 10^0

Prove that: sin(-420^0)(cos390^0)+cos(-660^0)(sin330^0)=-1.

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: cos 24^0+cos55^0+cos 125^0+cos 204^@+cos 300^0=1/2

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  2. Prove that: tan(-225^0)cot(-405^0)-tan(-765^0)cot(675^0)=0

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  3. Prove that:cos 570^0sin 510^0+sin(-330^0)cos(-390^0)=0

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  4. Prove that : tan((11pi)/3)-2sin((9pi)/3)-3/4cosec^2(pi/4)+4cos^2((17pi...

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  5. Prove that: 3sin(pi/6)sec(pi/3)-4sin((5pi)/6)cot(pi/4)=1

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  6. In a DeltaA B C prove that cos(A+B)+cos C=0.

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  7. In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).

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  8. In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

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  9. If A ,\ B ,\ C ,\ D be the angles of a cyclic quadrilateral, taken in ...

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  10. Find x from the following equation: cos e c(90^0+theta)+x costhetacot(...

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  11. Find x from the following equation: xcot(90^0+theta)+tan(90^0+theta)si...

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  12. Prove that: t a n 720^0-cos 270^0-sin 150^0cos 120^0=1/4

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  13. Prove that: sin 780^0sin 480^0+cos 120^0sin 150^0=1/2

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  14. Prove that: sin780^0sin 120^0+cos 240^0sin390^0=1/2

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  15. Prove that: sin600^0cos 390^0+cos 480^0sin 150^0=-1

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  16. Prove that : tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

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  17. Write the maximum and minimum values of cos(cosx)

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  18. Write the maximum and minimum values of sinx dot

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  19. Write the maximum value of sin(cosx)dot

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  20. If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

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