1. Two of the main identities used in trigonometry for right triangles (Triangles that have an angle of 90°) are: Sine (Sin) and Cosine (Cos).
Sin x°=Opposite/Hypotenuse
Cos x°=Adjacent/Hypotenuse
2. The inverse of Sinx° is Cosec x°, then:
Cosec x°=1/Sin x°
3. The inverse of Cos x° is Sec x°, then:
Sec x°=1/Cos x°
4. Keeping this on mind, you have:
Cosc x°=Hypotenuse/Opposite
Sec x°=Hypotenuse/Adjacent
5. Therefore, the correct answer is:
The third option: Cosec x°=Hypotenuse/Opposite.
Step-by-step explanation:
stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation
Answer:
Naman is 12 years old
Step-by-step explanation:
This means his sister is 3 which means in 20 years Naman will be 32 and his sister will be 23. Double 23 and you get 46 and 46 - 32 is 14
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - 
Step 2 - 
Step 3 - 
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
:

So our slope is 2. Completing our 3rd and final step.
Hope this helps!