SO you know that triangles add up to 180. A right angle equals 90 so 180-90=90. And an isosceles triangle means that 2 angles are congruent. SO 90/2 = 45. The measure of the 2 acute angles are 45
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.
Let, 3x is number of children.
So, 6x is number of adults and 8x is number of pensioners.
Now,
3x + 6x + 8x = 85
17x = 85
x = 5
Therefore, number of pensioners are 8×5 = 40.
Hence, this is the required solution.
