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Prove that : sin A (1 + tan A) + cos A (...

Prove that :` sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A.`

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

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

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ICSE-REVISION PAPER -3 -SECTION - B
  1. In GP.2,6,18,54……………13122, the product of 3 ^(rd) term from the beginn...

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  2. For the inter-state supply of the following godds/services, find the a...

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  3. Is the line through (-2,3) and (4,1) perpendicular to the line 3x =y +...

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  4. If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then p...

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  5. In a positive fraction, the denominator is greater than the numerator ...

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  6. Solve : (i) (x^(2)-x)^(2)+5(x^(2)-x)+4=0 (ii) (x^(2)-3x)^(2)-16(x^...

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  7. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

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  8. There are three containers of equal capacity and all are completely fi...

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  9. A straight line passes through the points A(-5, 2) and B(3,-6). It int...

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  10. A straight line passes through the points A(-5, 2) and B(3,6). It inte...

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  11. A straight line passes through the points A(-5, 2) and B(3,6). It inte...

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  12. If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : a:b= c:d

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  13. If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : (i)a:b=c...

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  14. Calculate the ratio in which the line joining A(5, 6) and B(-3, 4) is ...

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  15. The speed of a boat in still water is 15 km/hr. It can go 30 km ups...

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  16. Prove that : sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A.

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  17. If x in W, find the solution set of (3)/(5) x - ( 2x -1)/(3) gt1.

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  18. The figure alongside shows a circle with centre 0. Chord ED is paralle...

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  19. The sum of 3^(rd) and 11^(th) terms of an A.P. is 34. Find the sum of...

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  20. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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