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((1+ sin theta - cos theta )/( 1+ sin th...

`((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=`

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(1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin theta + cos theta )/( 1+ sin theta - cos theta ) =

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

Prove that (sin theta - cos theta + 1)/(sin theta + cos theta - 1) = (1)/(sec theta - tan theta) using the identity sec^(2) theta = 1 + tan^(2) theta .

Given cot theta = 7/8 , then evaluate [(1 + sin theta)(1 - sin theta)]/[(1 + cos theta) (1 - cos theta)]

If x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) show that ((dy)/(dx)) _(theta = ( pi )/(2)) =1.

cos theta - 4 sin theta = 1 implies sin theta + 4 cos theta =

Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) ]:} is independent of theta.

If (sin theta)/(1 - cos theta) + (sin theta)/(1 + cos theta) = 4(0^@ < theta < 90^@), then find the value of theta .

If tan theta = 7/8 then find the value of [(1 + sin theta)(1 - sin theta)]/[(1 + cos theta)(1 - cos theta)]

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BEYOND PUBLICATION-TRIGONOMETRY-EXERCISE
  1. If tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 th...

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  2. Show that (cot A + tan B)/(cot B + tan A) = cot A. tan B.

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  3. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

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  4. Show that (cot A - cos A)/(cot A + cos A) = ( cosec A - 1)/(1 + cosec...

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  5. show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

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  6. show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = c...

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  7. Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2...

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  8. Prove that [(1 + tan^2 theta)cot theta]/(cosec^2 theta) = tan theta

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

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  10. Prove that cos A/(1 - tan A) + sin A /(1 - cot A)= sin A + cos A

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  11. If 5 tan theta= 4, then the value of (5 sin theta - 3 cos theta)/(5 si...

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  12. The value of (2tan30^@)/(1+tan^2 30^@)=

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  13. The value of sin 45^@+cos45^@ is

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  14. tantheta is not defined when theta is

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  15. tan 135^@

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  16. sin (A-B) = 1/2, cos (A+B) = 1/2,0^(0)<A + B <90^(0), A>B అయిన A మరియు...

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  17. sin (A-B) = 1/2, cos (A+B) = 1/2,0^(0)<A + B <90^(0), A>B అయిన A మరియు...

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  18. If alpha+beta=90^@ and alpha=2beta, then cos^2alpha+sin^2beta = ………………...

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  19. cos^2 0^@+cos^2 60^@ =

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  20. cot(270^@-theta)=

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