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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 ) =

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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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AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - 1.1 ( SHORT ANSWER QUESTIONS)
  1. Prove that (cos (pi-theta).cot(pi/2 +theta).cos(-theta))/(tan(pi+th...

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  2. Prove that (sin(3pi-theta)cos(theta- pi/2)tan((3pi)/(2)-theta))/(co...

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  3. Prove that (sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@) + 3 s...

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  4. Prove that (sin(-(11pi)/(3))tan((35pi)/(6))sec(-(7pi)/(3)))/(cos((5p...

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  5. (i) If tan 20^(@) = lambda then show that (tan 610^(@) + tan 700^(@)...

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  6. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  7. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

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  8. If cosec theta + cot theta =1//3, then find cos theta and determine th...

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  9. If "sec" theta + tan theta = 5 then find sin theta and determine the q...

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  10. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

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  11. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

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  12. Prove that (1+cot theta -"cosec" theta ) (1+ tan theta + sec theta )=2...

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  13. Show that (tan theta+sec theta -1)/(tan theta - sec theta +1)=(1 + sin...

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  14. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

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  15. Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=...

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  16. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

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  17. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

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  18. Eliminate 'theta' from x=a cos^(4) theta y = b sin^(4) theta

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  19. (ii) Eliminate 'theta' from the equations x= tan theta + cot theta, ...

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