How do you express sin x + cos x in terms of sine only?
1 answer:
You might be interested in
We are given speed and time for Junnie and Maurice.
We will use speed distance formula here to find the distance covered by Junnie and Maurice.
The formula is given by:
Distance covered by Junnie:
We are given speed of Junnie as 3.2 miles per hour and time taken by her is 2.5 hours.
Plugging these values to find distance:
Distance = 3.2 * 2.5 = 8 miles
Distance covered by Maurice:
We are given speed of Maurice as 4.1 miles per hour and time taken by her is 1.8 hours.
Plugging these values to find distance:
Distance = 4.1 * 1.8 = 7.38 miles
Distance covered by Maurice is 7.38 miles whereas that covered by Junnie is 8 miles.
(A) So it is clear that Junnie walked farther.
Now let us find how much farther did Junnie walked.
We can find that by finding the difference between the two distances.
Difference = Distance covered by Junnie - distance covered by Maurice
Difference = 8- 7.38 = 0.62
(B) So Junnie walked 0.62 miles farther.
Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
