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<u>Answer </u><u>:</u><u>-</u></h3>
( 1 - cos²x ) secx
=> sin²x . secx
Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .
=> sin²x [ 1/cosx ]
Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .
=> sinx [ sinx/cosx ]
Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].
=> sinx tanx
Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .
Hi, do you have to picture?
If the y-coordinates of the given vertices and foci are the same, then the major axis is parallel to the x-axis. Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis.
Hope I helped you! :)
Below is a drawing I did!
4 r1 ² π : 4 r2² π = 4 : 9
r1² : r2² = 4 : 9
r1 : r2 = 2 : 3
r2 = 3 r1/2 ( r - radius of the smaller sphere )
10 π = 4/3 r³ π + 4/3 ( 3 r/2 ) ³ π / : π/3
30 = 4 r³ + 4 * 27 r³/8
30 = 4 r³ + 27 r³/2 / * 2
60 = 35 r³
r³ = 60 / 35 = 12/7
V ( Smaller ) = 4/3 r³ π = 4/3 * 12 / 7 π = 16/7 π = 2.286 π cubic units
Answer:
Formula for Volume=4/3 π r^3
Step-by-step explanation:
