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Mathematics

1 answer:

Over [174]3 years ago

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Answer:

1) option c

2) option d

3) option a

4) option a

5) option c

Step-by-step explanation:

1. Given that in ΔRST, ∠R=63°, ∠T=90° and so ∠S=27°

Also, cosec=hyotenuse/opposite side

Given RS=23 and ST=10.4

So, cosec27=RS/RT=23/RT

sec=hypotenuse/adjacent side

sec27=RS/ST=23/10.4

And cot=adjacent/opposite side

So, cot63=RT/ST=RT/10.4

2. formula:- sinθ=opposite side/hypotenuse

cosecθ=hypotenuse/opposite side

∴ sinθ *cosecθ = (opposite side/hypotenuse) * (hypotenuse/opposite side) = 1

3. Formula :- tan(360-θ) = -tanθ

∴ tan(300) = tan(360-60) = -tan30°

tan30° = √3

∴tan300° = -√3

5. sinθ= opposite side/hypotenuse

cosecθ = hypotenuse/opposite side

∴ cosecθ = 1/sinθ

Given sinθ = 0.3090

∴ cosecθ = 1/0.3090 = 3.2362

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What is the value of the x-coordinate of point W? Enter your answer as a decimal to the nearest 0.5.

levacccp [35]

I attached a screenshot with the complete question.

Answer:
x-coordinate of point w is nearly -3.5

Explanation:
To get the x-coordinate of a certain point, we would need to read the value of this point on the horizontal axis (the x-axis).
Taking a look at point w, we would find that it is in the second quadrant. This means that it has a negative x-value.
Now, reading the x-value on the horizontal axis, we can see that it is nearly midway between points -3 and -4.
This means that point w is approximately -3.5

Hope this helps :)