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Sphinxa [80]
3 years ago
7

Verify the trigonometric identity. convert the left side of the relationship to look like the right side.

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

Verified

Step-by-step explanation:

Use \tan{x}=\frac{\sin{x}}{\cos{x}}  , \sin^2{x}+\cos^2{x}=1 and \sec{x}=\frac{1}{\cos{x}}

LHS=\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}=RHS

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10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is
madam [21]

Answer:

<h2>               - 320</h2>

Step-by-step explanation:

a₁ = 10

a₂ = 6

d = a₂  - a₁ = 6 - 10 = -4

n = 16

a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50

S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320

4 0
3 years ago
Scientific notation<br> 9 * 10^12 ÷ 4.5 × 10^12
labwork [276]

Answer:

2*10 ^0 = 2

Step-by-step explanation:

9 * 10^12 ÷ 4.5 × 10^12

Divide the numbers

9/4.5

=2

Divide the exponents by subtracting

10^12 ÷  10^12 = 10 ^(12-12) = 10^0

Put them back together

2 * 10 ^0

2

3 0
4 years ago
Any base (except 0) raised to the zero power is equal to that number or base.
kap26 [50]
True.
Example: 34^0 is 34
3 0
3 years ago
Compare the expression 8×3+4 and 8×(3+4)
adelina 88 [10]
This is a lesson in order of operations...

PEMDAS- parentheses, exponents, multiplication, division, addition, and subtraction... That is the order in which you have to proceed during any math problem..

Your question gives an excellent example of why.

8x3+4=
in this question, we would do multiplication then addition for the answer...

24 + 4 = 28

Now the other one

8 x (3+4)  =
in this expression, we would do what is inside the parentheses first, the addition.  Then we would multiply...

8x 7 = 56

You see we have the same numbers and we are performing the same operations, but the difference is in the order that we perform them.  As you can see it does make a difference because we get a different result.

28 vs 56
6 0
3 years ago
Urgent! please help!
juin [17]

Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

4 0
3 years ago
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