Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
![\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%28sin%5E2%28a%29%2Bcos%5E2%28a%29-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can use trig identity
![\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%281-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Answer:
Step-by-step explanation:
1. 2 square root 7
2. 6 square root 2
3. 2 square root 5
Answer:
16 people
Step-by-step explanation:
Given that :
Number of people to tour = 80
Number per group = 16
Number of groups = 4
Total number of people who make up the entire groups :
Number per group * number of groups
16 * 4 = 64
The number of people in the last tour group :
80 - 64
= 16 people
