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PIT_PIT [208]
3 years ago
7

Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

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PLEASE HELP FOR 15 Points!!!! THE GRAPH IS IN ONE OF MY QUESTIONS
zavuch27 [327]

Answer:

m<1= 90°

m<2= 58°

3<= 32°

Step-by-step explanation:

The angles are congruent angles.

6 0
3 years ago
Which expression is equivalent to 16 in exponential form?
Lunna [17]

Answer:

4 with the exponent or base of 2

Step-by-step explanation:

To get 16 in exponential form would be

4 × 4 = 16

3 0
3 years ago
Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n.<br><br> thanks.
azamat

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0
3 years ago
Lisa is 10 cm taller than her friend ian. Ian is 14 cm taller than jim. Every month, their heights increase by 2 cm. In 7 months
koban [17]

Answer:  Ian's height = x+14 = 69+14 = 83 cm

Explanation :

Let the height of Jim be x

Let the  height of Ian be x+4

Let the height of Lisa be x+4+10=x+14

Since their heights increase by 2cm every months

so after 7 months ,

Jim's  height = x+14

Ian's  height= x+4+14=x+18

Lisa's  height= x+14+14=x+28

According to question,

Sum of Ian's and Jim's height = 170cm

x+18+x+14 = 170\\2x+32 =170\\2x =170-32\\2x = 138

⇒x = \frac{138}{2}

⇒ x= 69cm

∴ Ian's height = x+14 = 69+14 = 83 cm

5 0
3 years ago
Read 2 more answers
Which of the following compositions will map the red figure onto the blue figure?<br> 6lB<br> ATA
melisa1 [442]

Answer:

Point A is translated to A" by T(0, -6), since A has been shifted 6 units down

check the picture, the translated triangle is A"'B"'C"'.

clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.

from the choices given, we see that is is a 270° counterclockwise  rotation.

Answer: A.(o,-6). Ra,270

Read more on Brainly.com - brainly.com/question/4238499#readmore

Step-by-step explanation:

7 0
3 years ago
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