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ELEN [110]
4 years ago
8

Verify the identity. Help please!!!

Mathematics
1 answer:
MariettaO [177]4 years ago
4 0
The given expression can be proved using the Pythagorean identity as shown below:

L.H.S \\  \\ 
= 1+ sec^{2} *sin^{2}x  \\  \\ 
=1+ \frac{1}{cos^{2}x } sin^{2}x  \\  \\
=1+tan^{2}x \\  \\ 
=sec^{2}x \\  \\ 
= R.H.S 


Thus, the Left hand side has been proved equal to Right Hand Side.
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How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?
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Find how many integers is divisible by 2.

a_1=10,a_n=60,d=2
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11, 13, 15,..., 57, 59

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Now we should eliminate numbers divisible by 3: 15, 21, 27...

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6 0
3 years ago
Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid
Art [367]

Answer:

d) 135º

Step-by-step explanation:

Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.

After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.

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As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.

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