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Q #11
:

CAT Geometry: Trigonometry - Trigonometric Identities


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If tan? + sin? = m, tan? − sin? = n, Find the value of m2 - n2



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Q #12
:

CAT Geometry: Trigonometry - Heights and Distances


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A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.



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Q #13
:

CAT Geometry: Trigonometry - Trigonometric Identities


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If Cos x – Sin x = ?2 Sin x, find the value of Cos x + Sin x:



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Q #14
:

CAT Geometry: Circles


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If (2sinx)/(1+cosx+sinx) = t, (1-cosx+sinx)/(1+sinx) can be written as:

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Q #15
:

CAT Geometry: Trigonometry -Height of a tree


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A tall tree AB and a building CD are standing opposite to each other. A portion of the tree breaks off and falls on top of the building making an angle of 30°. After a while it falls again to the ground in front of the building, 4 m away from foot of the building, making an angle of 45°. The height of the building is 6 m. Find the total height of the tree in meters before it broke.



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