sine 1. 1+ cose sin e 2 cosece 1+ cos e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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6:SO PM D
0.OKB/s a 60
Prove the following (from Q.1 to Q.7):
sine
1+ cose
2 cosece
1.
1+ cos e
sin e
tan A
tan A
2cosec A
2.
1 secA
1 secA
3
3. If tan A =
12
then sinA cosA=
25
4. (sin a + cos a) (tan o + cot a) = sec a + cosec a
5. 13 1 (3 – cot 30°) = tan³ 60° – 2 sin 60°
cot a
1+
1+ coseca
6.
= coseca
7. tan 0+ tan (90°- 0) sec 0 sec (90°-0)
8. Find the angle of elevation of the sun when the shadow of a pole h metres high is
3h metres long.
9. If 3 tan e = 1, then find the value of sin e - cos 0.
10. A ladder 15 metres long just reaches the top of a vertical wall If the ladder makes
an angle of 60° with the wall, find the height of the wall.
11. Simplify (1 + tan 0) (1 – sine) (1 + sine)
12. If 2sin'0 - cos e=2, then find the value of 0.
cos (45° +0)+cos (45°-6)
1
tan (60° +0) tan(30°–0)
13. Show that
14. An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high.
Determine the angle of elevation of the top of the tower from the eye of the
observer.
15. Show that tan'e + tan'e = sec'e - sec'e.
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Transcribed Image Text:6:SO PM D 0.OKB/s a 60 Prove the following (from Q.1 to Q.7): sine 1+ cose 2 cosece 1. 1+ cos e sin e tan A tan A 2cosec A 2. 1 secA 1 secA 3 3. If tan A = 12 then sinA cosA= 25 4. (sin a + cos a) (tan o + cot a) = sec a + cosec a 5. 13 1 (3 – cot 30°) = tan³ 60° – 2 sin 60° cot a 1+ 1+ coseca 6. = coseca 7. tan 0+ tan (90°- 0) sec 0 sec (90°-0) 8. Find the angle of elevation of the sun when the shadow of a pole h metres high is 3h metres long. 9. If 3 tan e = 1, then find the value of sin e - cos 0. 10. A ladder 15 metres long just reaches the top of a vertical wall If the ladder makes an angle of 60° with the wall, find the height of the wall. 11. Simplify (1 + tan 0) (1 – sine) (1 + sine) 12. If 2sin'0 - cos e=2, then find the value of 0. cos (45° +0)+cos (45°-6) 1 tan (60° +0) tan(30°–0) 13. Show that 14. An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer. 15. Show that tan'e + tan'e = sec'e - sec'e. a AglaSem Schools Visit Class 10 Important Questions for Maths - Introduction to ... Images may be subject to copyright. Learn more 米 ... Discover Updates Search Recent More
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