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Find the values of the following trigono...

Find the values of the following trigonometric ratio: `tan315^0`

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` tan 315^{circ}=tan (2 pi-frac{pi}{4})`
`=-tan frac{pi}{4}`
`[therefore tan (2 pi-theta)=-tan theta] `
`=-1`
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Find the values of the following trigonometric ratio: tan(11pi/6)

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  2. Find the values of the following trigonometric ratio: cos (1125^@)

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  3. Find the values of the following trigonometric ratio: tan315^0

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  4. Find the values of the following trigonometric ratio: cos e c\ (-1200^...

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  5. Find the values of the following trigonometric ratio: cos1755^0

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  6. Find the values of the following trigonometric ratio: sin510^0

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  7. Find the values of the following trigonometric ratio: tan(-585^0)

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  8. Find the values of the following trigonometric ratio: sin 4530^@

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  9. Find the values of the following trigonometric ratio: cos570^@

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  10. Find the values of the following trigonometric ratio: cos 855^0

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  11. Find the values of the following trigonometric ratio: "sin"(-330^@)

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  12. Find the values of the following trigonometric ratio: sin1845^0

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  13. Prove that: t a n 225^0cot 405^0+t a n 765^0cot 675^0=\ 0

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  14. Prove that: sin(8pi)/3cos(23pi)/6+cos(13pi)/3sin(35pi)/6=1/2

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  15. Prove that: cos 24^0+cos55^0+cos 125^0+cos 204^@+cos 300^0=1/2

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

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  17. Prove that:cos 570^0sin510^0+sin(-330^0)cos(-390^0)=0

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  18. tan((11pi)/3)-2sin((9pi)/3)-3/4cosec^2(pi/4)+4cos^2((17pi)/6)=(3-2sqrt...

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

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

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