4 years ago

Choose the graph. Find the angle of theta if secθ=-13/5 and tanθ is negative.

Mathematics

1 answer:

solmaris [256]4 years ago

3 0

Answer:-12/5

Step-by-step explanation:

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AB is tangent to O. If AO=12 and BC=25 what is AB ? The diagram is not to scale.

Marat540 [252]

The answer is A

AO = 12

BC= 25+ 12= 37
you can get help from Pythagoras theorem
${37}^{2} = {12}^{2} + {x}^{2} \\ - {x}^{2} = {12}^{2} - {37}^{2} \\ - {x}^{2} = 144 - 1369 = - 1225 \\1225 = {x}^{2}$
$x = \sqrt{1225} = 35$

good luck

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3 years ago

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

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3 years ago

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What is the speed of a bobsled who’s distance time graph indicates that it traveled hundred kilometers in 25 seconds

shutvik [7]

The answer would be 4m\s

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3 years ago

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Please answer all of them! SHOW WORK!!

antiseptic1488 [7]

Wait I can help fm dm