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MArishka [77]
2 years ago
8

Prove: sin^2x (sec^2x + csc^2x)=sec^2x

Mathematics
1 answer:
Vikki [24]2 years ago
4 0
Sin^2x (sec^2x + csc^2x) = sec^2x

I would convert the functions in the parentheses to their reciprocals.

sin^2x (1/cos^2x + 1/sin^2x) = sec^2x

Now distribute the sine.

sin^2x/cos^2x + sin^2x/sin^2x = sec^2x

Remember that sine divided by cosine is always tangent.

tan^2x + sin^2x/sin^2x = sec^2x

The remaining fraction is simply 1.

tan^2x + 1 = sec^2x

Use the Pythagorean identity to add the left side.

sec^2x = sec^2x

Q.E.D.
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A function is given. h(t) = −t + 6/5 ; t = −3, t = 1
artcher [175]

Answer:

h(-3) = 4.2 or 21/5

h(1) = 0.2 or 1/5

Step-by-step explanation:

Plug in -3 for t.

-(-3) + 6/5 = 4.2 or 21/5

Plug in 1 for t.

-(1) + 6/5 = 0.2 or 1/5

8 0
1 year ago
You have $15.71, chicken nuggets cost $1.49. If you buy 5 orders of chicken nuggets, how much money do you have left?
fredd [130]

Answer:

$8.26

Step-by-step explanation:

We have 15.71 total. Chicken nuggets each cost $1.49. We are ordering 5 orders of chicken nuggets, so we use multiplication. 1.49*5= $7.45. Since we spent 7.45 from 15.71, to find the rest, we subtract. 15.71-7.45 = 8.26

6 0
3 years ago
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What positive whole number can you multiply by 3 and add1,or multiply by 2 and add 8?
Vilka [71]

Answer:

7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.

Step-by-step explanation:

Multiplying the positive whole number 7 by 3 and adding 1 will get:

(7 × 3) + 1 = 21 + 1 = 22

Multiplying the positive whole number 7 by 2 and adding 8 will get:

(7 × 2) + 8 = 14 + 8 = 22

Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.

3 0
3 years ago
Can someone please help me with this?
nadya68 [22]

Answer:

A. -0.875

Step-by-step explanation:

Find where the points are located

A=-4.25

B=2.5

Add the points

-4.25+2.5=-1.75

-1.75/2=-0.875

7 0
2 years ago
Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents
Blababa [14]

Answer:

y = 2x + 4

Step-by-step explanation:

Slope: (6-4)/(1-0) = 2

y = 2x + 4

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