Option C:
x = 90°
Solution:
Given equation:
![\sin x=1+\cos ^{2} x](https://tex.z-dn.net/?f=%5Csin%20x%3D1%2B%5Ccos%20%5E%7B2%7D%20x)
<u>To find the degree:</u>
![\sin x=1+\cos ^{2} x](https://tex.z-dn.net/?f=%5Csin%20x%3D1%2B%5Ccos%20%5E%7B2%7D%20x)
Subtract 1 + cos²x from both sides.
![\sin x-1-\cos ^{2} x=0](https://tex.z-dn.net/?f=%5Csin%20x-1-%5Ccos%20%5E%7B2%7D%20x%3D0)
Using the trigonometric identity:![\cos ^{2}(x)=1-\sin ^{2}(x)](https://tex.z-dn.net/?f=%5Ccos%20%5E%7B2%7D%28x%29%3D1-%5Csin%20%5E%7B2%7D%28x%29)
![\sin x-1-\left(1-\sin ^{2}x\right)=0](https://tex.z-dn.net/?f=%5Csin%20x-1-%5Cleft%281-%5Csin%20%5E%7B2%7Dx%5Cright%29%3D0)
![\sin x-1-1+\sin ^{2}x=0](https://tex.z-dn.net/?f=%5Csin%20x-1-1%2B%5Csin%20%5E%7B2%7Dx%3D0)
![\sin x-2+\sin ^{2}x=0](https://tex.z-dn.net/?f=%5Csin%20x-2%2B%5Csin%20%5E%7B2%7Dx%3D0)
![\sin ^{2}x+\sin x-2=0](https://tex.z-dn.net/?f=%5Csin%20%5E%7B2%7Dx%2B%5Csin%20x-2%3D0)
Let sin x = u
![u^2+u-2=0](https://tex.z-dn.net/?f=u%5E2%2Bu-2%3D0)
Factor the quadratic equation.
![(u+2)(u-1)=0](https://tex.z-dn.net/?f=%28u%2B2%29%28u-1%29%3D0)
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.
Answer:
I think these are the right answers. The answer to one is 32. The answer to two is 38.
1: 2[18-(5+3^2)/7]
2[18-(5+9)/7]
2[18-14/7]
2[18-2]
2 times 16 = 32
2: I used a calculator for this one.
Answer:
y=7x-3
Step-by-step explanation:
Hello There!
75% of 180 is 135.
Converting Percent To Decimal.
p = 75%/100 = 0.75
Y = 0.75 * 180
Y = 135
No of substes is given by 2^n where n is the no of elements.
Here, n = 3
Therefore, number of subsets = 2^3 = 8