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Prove that cottheta+tantheta=secthetacos...

Prove that `cottheta+tantheta=secthetacosectheta`

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Prove the following tantheta/(1-cottheta) +cottheta/(1-tantheta) =sectheta.cosectheta+1=1+tantheta+cottheta

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Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(iii) tantheta/(1-Cottheta)+Cottheta/(1-tantheta)=Sectheta Cosectheta+1

Prove that (1+cosectheta-cottheta)/(1+cosectheta+cottheta)=(1-costheta)/(sintheta)

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Prove that 1/(sectheta+tantheta)-1/costheta=1/costheta-1/(sectheta-tantheta)

Prove the following sqrt{(1-sintheta) /(1+sintheta)} =sectheta-tantheta=(1-sintheta)/costheta

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R G PUBLICATION-REVISION-EXERCISE
  1. Find the values of k for each of the following quadratic equations, so...

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  2. Find the values of k for each of the following quadratic equations, so...

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  3. Find the values of k for each of the following quadratic equations, so...

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  4. Evaluate the following:(iv)(Sin30^@+tan45^@-Cosec60^@)/(Sec30^@+Cos60^...

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  5. Evaluate the following: (Cosec30^@+Cosec60^@+Cosec90^@)/(Sec0^@+Sec30^...

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  6. If Sin(x+y)=1,Cos(x-y)=sqrt3/2 and x>y,0^@lex+yle90^@ then find x and ...

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  7. Find the value : Sin35^@sin55^@-Cos35^@Cos55^@

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  8. Find the value : tan35^@tan60^@ tan55^@tan30^@

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  9. Find the value : Cot54^@/(tan36^@)+tan20^@/(cot70^@)-2

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  10. Find the value : 3Sin23^@/(Cos67^@)+4Sec47^@/(Cosec43^@)

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  11. Find the value : tan5^@tan25^@tan30^@tan65^@tan85^@

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  12. If sec5theta=cosec(theta-36^@) where theta is an acute angle, then fin...

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  13. If sinA=cos33^@,A<90^@. Find the value of A.

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  14. If sin 2A=cos(A+15^@) where 2A<90^@, find the value of A.

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  15. If sin(3x+10)=cos(x+24) then find the value of x.

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  16. Prove that tan^4theta+tan^2theta=sec^4theta-tan^2theta-1

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  17. Prove the following costheta/(1-tantheta) +sintheta/(1-cottheta)=sinth...

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  18. Prove that sqrt((sectheta-1)/(sectheta+1))=cosectheta-cottheta

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  19. Prove that cottheta+tantheta=secthetacosectheta

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  20. Show that: 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta

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