Trigonometry Answers

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If the ratio of three sides of a triangle is a:b:c = 7:8:9 then show that cosA:cosB:cosC = 14:11:16

tan(x)+sec(x)-1/ tan(x)-sec(x)+1=1+sin(x)/cos(x)
Verify the given.

The angle of elevation of a tower from a point
L is 62°. From a point K, 50 m further from the tower, the
angle of elevation is 47°. (Let the height of the tower be h.)
a Use the sine rule in ΔKTL to show that:
TL =
b Use trigonometry in ΔLMT to show that:
TL =
c Hence, show that h =
d Calculate the height, h, of the tower, correct to one decimal place.
15 From the top of a cliff, the angles of depression of two boats
at sea 0.5 km apart are 55° and 33°. (Let the height of the cliff
be h.)
a Show that the height of the cliff is:
h =
b Hence, calculate the height, correct to the nearest metre.

An airplane is flying at an altitude of 6000 m over the ocean directly towards a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14 degrees. How much farther ( to the nearest kilometre ) does the airplane have to fly before it is directly above the coastline?

An airplane departs city A and travels at a bearing of 100°. City B is directly south of city A. When the plane is 200 miles east of city B, how far has the plan traveled? How far apart are city A and City B?

if K=sin(pie/18)*sin(5*pie/18)*sin(7*pie/18)
then find value of k

Two ships leave a port at the same time. The first ship sails on a course of 35 degrees at 15 knots while the second ship sails on a course of 125 degrees at 20 knots. Find after 2 hours (a) the distance between the ships, (b) the bearing from the first ship to the second ship, and (c) the bearing of the second ship to the first.

what is the range of the function f(x)=2^x-3?

how do i write in exponential form log(0.001)=-3