Trigonometry Answers

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

A = 46°, b = 27 ft, c = 14 ft

why sin(a+b)is not equal to sin a+sin b

Write an equation in slope-intercept form for the line with slope -3and y-intercept-2 .

THS IS FUNCTIONS (CHAPTER ;RELATION BETWEEN SIDES AND ANGle or using sine formula show that each of the following holdand the law of sine rule

Q1 .tan A-B/2/TAN A+B/2=a-b/a+b
Q2 .b cos B+c cos C=a cos (B-C)
Q3 a sin B-C/2\=(b-c) cos A/2
Q4 b+c/b-c=tan B+C/2 * COT B-C/2
Q5 a cosA+b cos C+c cos C=2a sinB sinC
Q5. IN ANY TRIANGLE IF a/ cosA=b/cosB, PROVE THAT THE TRIANGLE IS ISOSCELES

A plane flew 150 miles on a course of 2200 and then 130 miles on a course 1300. Then the plane returned to its starting point via the shortest route possible. Find that shortest distance.

tan⁡θ= (sin⁡α-cos⁡α)/(sin⁡α+cos⁡α ) ,then sin⁡α+cos⁡α = ?

Cot -1(.8223)

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.