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Korvikt [17]
3 years ago
12

Express secΦ in terms of tanΦ​

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

\sec\theta=\sqrt{1+\tan^2\theta}

Step-by-step explanation:

The trigonometric identity is :

\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta

We need to express secθ in terms of tanθ.

The above equation becomes,

\sec\theta=\sqrt{1+\tan^2\theta}

Hence, this is the required solution.

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the length of a rectangular picture frame is 3 centimeters less than twice the width. the perimeter is 78 centimeters. find the
Natalka [10]
Let the width be x
width = x
length = 2x - 3

Perimeter = x + 2x - 3 + x + 2x - 3 = 6x - 6 

6x - 6 = 78
6x = 78 + 6
6x = 84
x = 14 cm

2x - 3 = 2(14) - 3 = 25cm

The width is 14cm and the length is 25cm 
5 0
3 years ago
Mi is about to roll a six-sided number cube. What is the experimental probability that she will roll an even number based on her
Kryger [21]

Answer: The  experimental probability that she will roll an even number= \frac{1}{2}


Step-by-step explanation:

We know that the probability for any event is given by6;-

\text{Probability}=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

In a dice, the total even numbers (2,4,6)= 3

Therefore, the probability that she will roll an even number will be given by:-

\text{Probability}=\frac{\text{3}}{\text{6}}=\frac{1}{2}

Hence, The  experimental probability that she will roll an even number= \frac{1}{2}

6 0
3 years ago
1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake
shtirl [24]

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

\dfrac{1}{4}(\dfrac{1}{3}k+9)=6

Step 1.

Cross multiplying,

(\dfrac{1}{3}k+9)=24

Step 2.

Subtract 9 from both sides

\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15

Step 3.

Cross multiplying

k=15\times 3\\\\k=45

So, there is an error in step 3. The correct answer should be 45.

3 0
2 years ago
Find the indicated part for the similar triangles.
sattari [20]
EF=9 cm. Both triangles are the same.
5 0
3 years ago
Read 2 more answers
One-third (x minus 2) = one-fifth (x + 4) + 2?
Diano4ka-milaya [45]

Answer:

x = 26

Step-by-step explanation:

6 0
3 years ago
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