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If cot theta = (x)/(y) , find the val...

If cot ` theta = (x)/(y) ` , find the value of:
` " " ( x cos theta + y sin theta)/( y sin theta - x cos theta)`

Text Solution

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The correct Answer is:
` (x^(2)+y^(2))/(y^(2)- x^(2))`
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ICSE-CHAPTER REVISION (STAGE 2) -TRIGONOMETRY
  1. If 6 tan A - 5 =0 , find the value of : " " (3 sin A - cos A)/(...

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  2. If 2 cot A =3, find the value of " " ( 5 sin A - 2 cos ...

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  3. If cot theta = (x)/(y) , find the value of: " " ( ...

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  4. In Delta ABC, angle B = 90 ^(@) and sin A = (8)/(11) Show that : ...

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  5. In Delta ABC, angle B = 90 ^(@) and sin A = (8)/(11) Show that : ...

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  6. If A = 60 ^(@) and B = 30 ^(@) , find the value of (sin A cos B+ ...

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  7. If x= 15 ^(@) , evaluate : 4 cos 2x . Sin 4x. tan 3x- 1

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  8. If x=30o , verify that : tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqrt((1...

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  9. Find the value of : sqrt((1- sin ^(2) 60 ^(@))/(1- cos ^(2) 60^(@)))

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  10. If cos 3x= 0 and x is acute find the value of : sin x

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  11. If cos 3x= 0 and x is acute find the value of : cos 2x

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  12. If cos 3x= 0 and x is acute find the value of : cot^(2) x- cose...

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  13. If cot ^(2) A - 3 =0 find : sin 2A

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  14. If cot ^(2) A - 3 =0 find : cos 3A

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  15. The length of a string between a kite and a point on the ground is 90 ...

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  16. In the following figure , angle B = 90 ^(@) angle ADB = 30 ^(@) and a...

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  17. Evaluate : (cos 58 ^(@))/(sin 32^(@)) +(sin 22^(@))/(cos 68^(@)) - ...

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  18. Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot"...

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  19. Evaluate : sec 26^(@) sin 64^(@) + (cosec 33^(@))/(sec 57^(@))

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  20. Evaluate ( 5 sin 66 ^(@))/( cos 24 ^(@)) -( 2 cot 85^(@))/(tan 5^(@...

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