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Trigonometry
> Question and Answers 4
Trigonometry
Question (1):
Answer:
Question (2):
Answer:
Question (3):
Answer:
Question (4):
Answer:
Question (5):
Answer:
Question (6):
If A+B=45, prove that (1 + tan A) (1 + tan B) = 2.
Answer:
Question (7):
Answer:
Question (8):
Answer:
Question (9):
Prove that tan 70
o
= tan 20
o
+ 2 tan 50
o
.
Answer:
Question (10):
Answer:
By data:
By componendo and dividendo
Question (11):
Answer:
Question (12):
Answer:
Squaring and adding
Question (13):
Evaluate:
Answer:
Question (114):
Evaluate:
Answer:
Question (15):
Evaluate:
Answer:
Question (16):
Evaluate:
Answer:
Question (117):
Answer:
Question (18):
Prove that cot
q
- tan
q
= 2cot 2
q
.
Answer:
Aliter:
Question (19):
Answer:
Question (20):
Prove that 4 sin 18
o
cos 36
o
= 1.
Answer:
LHS = 4 cos 72
o
cos 36
o
Question (21):
Answer:
Question (22):
Answer:
Question (23):
Prove that sin 3
q
- sin
q
- sin 5
q
= sin 3
q
(1 - 2 cos 2
q
).
Answer:
LHS = sin 3
q
- (sin 5
q
+ sin
q
)
= sin 3
q
- (2 cos 2
q
sin3
q
)
= sin 3
q
(1 - 2 cos 2
q
)
Question (24):
Answer:
Question (25):
Answer:
Question (26):
Answer:
Question (27):
Prove that cos 5
o
- sin 25
o
= sin 35
o
.
Answer:
=2sin30
sin35
Question (28):
Prove that cos 80
o
+ cos 40
o
- cos 20
o
= 0.
Answer:
Question (29):
Answer:
Question (30):
Answer:
Question (31):
Answer:
Question (32):
Answer:
Question (33):
Answer:
Question (34):
Answer:
let A=15
Question (35):
Answer:
Question (36):
Prove that
Answer:
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Trigonometry
Trigonometry
Trigonometrical Identities
Trigonometric Tables
Trigonometry XI
Trigonometry (Continued)
Solution of Right Angled Triangles
Heights and Distances
Question and Answers 1
Question and Answers 2
Question and Answers 3
Question and Answers 4
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