АCTIVITYA. Find the complement of each of the following angles.1. 15° 43'2. 27° 32' 46"B. Find the supplement of each of the following angles.1. 78°2. 18° 52' 34"C. Classify cach angle as acute, obtuse, right or straight.1. 125°2. 89° 59' 59"3. The complement of the angle whose measure is 35°4. The supplement of any obtuse angle5. The supplement of a straight angle6. The complement of the supplement of 160°D. Find the values of the six trigonometric functions of e for the rightwith the given sides.85E. Given that 0 is an acute angle and cos 8= 7/25, findc) sec ea) tan 0b) sin 0F. Find the exact value of each expression.a) csc 45" - sec 45b) csc 60° sec 30° + cot 45°d) csc (z/6) – sec (x/3)G. Determine the value of B that will satisfy the following.a) sin (4B + 10") = cos 6Bь) sec (3B — 150)%3,sin (58+90)H. Solve each problem completely.1. From the second-floor window directly across the street the angle of elevation of the top of an officebuilding in Makati is 57°20' and the angle of depression of the base is 18°16'. If the buildings are 38.3meters apart, find the height of the office building.2. The post office building in Manila is 21.8 meters away from the southern bank of the Pasig River. From awindow of the building 18.5 meters above the ground, a man finds that the angle of depression of thenorthern bank is 8°12'. What is the width of the river at this point?3. A plane flew 150 miles on a course of 220° and then 130 miles on a course 130". Then the plane retunedto its starting point via the shortest route possible. Find that shortest distance.I. Verify the following identities.1. sin0+cotocose = csceese e3. sin (csce -sin 0) =cos etane4.1-cose= cot e2.1+ tan0sece+1cose J. Determine the exact value by expressing the given angle in terms of the sum or difference of two specialangles.(a) Cos 75°(b) Csc165°K. Use an addition formula to find the exact value of cos 15° cos 75° + sin 15° sin 75°tan A=-V3, A in QIIL. Find sin (A + B), cos(A+B), and tan(A+B) ifcotß =-V2, Bin QIVM. Write sin 7x + sin 3x as a product.N. Evaluate without using calculator.a. -2 sin 52.5° sin 97.5°b. cos 255° - cos 195°O. Sketch the graph of y = -2sin (3x – n)P. Determine the exact value of csc ( cos-19- cos (tan-

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Answered: АCTIVITY A. Find the complement of cach…

АCTIVITY A. Find the complement of cach of the following angles. 1. 15° 43 2. 27° 32' 46" B. Find the supplement of cach of the following angles. 1. 78° 2. 18° 52" 34"

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

АCTIVITY
A. Find the complement of each of the following angles.
1. 15° 43'
2. 27° 32' 46"
B. Find the supplement of each of the following angles.
1. 78°
2. 18° 52' 34"
C. Classify cach angle as acute, obtuse, right or straight.
1. 125°
2. 89° 59' 59"
3. The complement of the angle whose measure is 35°
4. The supplement of any obtuse angle
5. The supplement of a straight angle
6. The complement of the supplement of 160°
D. Find the values of the six trigonometric functions of e for the right
with the given sides.
8
5
E. Given that 0 is an acute angle and cos 8= 7/25, find
c) sec e
a) tan 0
b) sin 0
F. Find the exact value of each expression.
a) csc 45" - sec 45
b) csc 60° sec 30° + cot 45°
d) csc (z/6) – sec (x/3)
G. Determine the value of B that will satisfy the following.
a) sin (4B + 10") = cos 6B
ь) sec (3B — 150)%3,
sin (58+90)
H. Solve each problem completely.
1. From the second-floor window directly across the street the angle of elevation of the top of an office
building in Makati is 57°20' and the angle of depression of the base is 18°16'. If the buildings are 38.3
meters apart, find the height of the office building.
2. The post office building in Manila is 21.8 meters away from the southern bank of the Pasig River. From a
window of the building 18.5 meters above the ground, a man finds that the angle of depression of the
northern bank is 8°12'. What is the width of the river at this point?
3. A plane flew 150 miles on a course of 220° and then 130 miles on a course 130". Then the plane retuned
to its starting point via the shortest route possible. Find that shortest distance.
I. Verify the following identities.
1. sin0+cotocose = csce
ese e
3. sin (csce -sin 0) =cos e
tane
4.
1-cose
= cot e
2.
1+ tan0
sece+1
cose

J. Determine the exact value by expressing the given angle in terms of the sum or difference of two special
angles.
(a) Cos 75°
(b) Csc165°
K. Use an addition formula to find the exact value of cos 15° cos 75° + sin 15° sin 75°
tan A=-V3, A in QII
L. Find sin (A + B), cos(A+B), and tan(A+B) if
cotß =-V2, Bin QIV
M. Write sin 7x + sin 3x as a product.
N. Evaluate without using calculator.
a. -2 sin 52.5° sin 97.5°
b. cos 255° - cos 195°
O. Sketch the graph of y = -2sin (3x – n)
P. Determine the exact value of csc ( cos-19- cos (tan-

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