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Prove each of the following identities :...

Prove each of the following identities :
`(i) sec theta(1- sin theta)(sec theta + tan theta)=1 `
` (ii) sin theta (1+ tan theta) + cos theta( 1+ cot theta)=( sec theta + "cosec" theta) `

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRY-PROBLEM SET -6
  1. The correct alternative answer for each of the following questions : 1...

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  2. When we see at a higher level, from the horizontal line, angle formed ...

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  3. If sin theta=11/61, ffind the value of cos theta using trigonometric i...

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  4. If tan theta = 2. Find the value of other trigonmertric rations.

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  5. If sec theta=13/12, find the values of other trigonometric ratios.

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  6. Prove each of the following identities : (i) sec theta(1- sin theta)...

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  7. Prove : (sec theta+tan theta)(1-sin theta)=cos theta.

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  8. Prove the following: sec^2 theta + cosec^2 theta = sec^2 theta xx cos...

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  9. Prove the following: cot^2 theta - tan^2 theta = cosec^2 theta - sec...

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  10. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  11. Prove the following: 1/(1-sin theta) + 1/(1-sintheta) = 2 sec^theta

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  12. Prove the following: sec^6 x - tan^6 x = 1 + 3sec^2 x xx tan^2x

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  13. Prove that : (tan theta)/(sec theta + 1) = (sec theta - 1)/(tan thet...

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  14. Prove the following: (tan^3 theta - 1)/(tan theta - 1) = sec^2 theta ...

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  15. Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tan...

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  16. A boy standing at a distance of 48 meters from a building observes the...

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  17. From the top of a lighthouse , an observer looks at a ship and finds t...

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  18. Two buildings are in front of each other on a road of width 15 meters....

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  19. A ladder on the platform of a firebrigade van can be elevated at an an...

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  20. While landing at an airport, a pilot made an angle of derpession of 20...

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