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Show that ((1+tan ^(2) A) /(1+cot ^(2) A...

Show that `((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1+ tan )/( 1-cot A ))^(2)= tan ^(2) A `

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VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. Prove that (cosec A - sin A ) (sec A -cos A) = ( 1)/( tan A +cot A)

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  2. Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

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  3. Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1+ tan )/( 1-cot A ))^...

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  4. Prove that ((sec A -1))/( (sec A+1) ) =((1-cos A)/((1+cos A )))

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  5. tan^(2) theta - 1 / cos^(2) theta =-1 అని చూపండి.

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  6. Explain the meaning of cos A.

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  7. If tan O/ = sqrt3 ( O/ is acute angle) then find the value of 1+cos...

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  8. Evaluate (sin 58^o / cos 32^o) + (tan 42^o/ cot 48^o)

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  9. sin A = 1 / sqrt 2 tan B =1 sin (A + B) =

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  10. Express cos O/ in terms of tan O/ .

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  11. If cos O/ = 1/(sqrt2) , then find the value of 4 + cot O/ .

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  12. Is it correct to say that sin O/ = cos (90 - O/)? why?

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  13. Find the value of tan 2A if cos 3A = sin 45^o .

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  14. In a right triangle ABC, right angled at C in which AB = 13cm, BC = 5c...

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  15. cosec 39^(0), sec 51^(0) - tan 51^(0). Cot 39^(0) విలువను గుణించండి.

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  16. Ravi says “the value of tan 0^o tan 1^o tan 2^o……. tan 89^o is zero’...

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  17. Prove that 4tan^2 45^o - cosec ^2 30^o + cos^2 30^o = 3/4

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  18. Using the figure given of triangle ABC prove that sin^2 O/ + cos^2 O/...

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  19. Show that sqrt (sec^2 O/ + cosec^2 O/) = tan O/ + cot O/

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  20. Prove that sqrt ((1 - sin O/)/(1 + sin O/ )) = sec O/ - tan O/

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