<h3>
<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 .
<h3>
Answer: 7/20</h3>
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Work Shown:
2/5 = 8/20 .... multiply top and bottom by 4
1/4 = 5/20 ..... multiply top and bottom by 5
The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.
These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20
After two days, Pete has read 13/20 of the book.
This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.
Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1
Answer:
24
Step-by-step explanation:
96 divided by 4 = 24
Please don’t click link it’s a hacker !!!
Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
Substitute the given values.
(since r = h)
Divide by 3.14 on both sides.
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
The volume of the sphere is 63.85 cm³.
