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stepladder [879]
3 years ago
6

Functions f(x) and g(x) are defined below.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
I'll send u a pic of my answer (I solved it on my cookbook) if u make this brainliest (u get 3 points for free if u do
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What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
PLEASE HELP ME ASAP!!!!!
melisa1 [442]

Answer:

4.5

Step-by-step explanation:

7 0
3 years ago
Solve the inequality.<br> 5(w - 3) &lt; 5w + 20
saveliy_v [14]

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

7 0
3 years ago
Read 2 more answers
Simplify this expression <br> 7z+5+6z-9
Simora [160]

Answer:

7z + 5 + 6z - 9  (Add 7z and 6z, subtract 9 from 5)

<em>13z - 4  </em>(Can't be simplified further)

8 0
2 years ago
Can someone answer this for me? <br><br> Thanks!
MrRa [10]

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

4 0
3 years ago
Read 2 more answers
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