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Subject  >  Math  >  Trigonometry  >  Question and Answers 4

Trigonometry

   
 
Question (1):
Answer: 


Question (2):
Answer: 

Question (3):
Answer: 

Question (4):
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Question (5):
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Question (6): If A+B=45, prove that (1 + tan A) (1 + tan B) = 2.
Answer: 






Question (7):
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Question (8):
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Question (9): Prove that tan 70o = tan 20o + 2 tan 50o.
Answer: 







Question (10):
Answer:  By data:

By componendo and dividendo

Question (11):
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Question (12):
Answer:  Squaring and adding



Question (13): Evaluate:

Answer: 
Question (114): Evaluate:

Answer: 
Question (15): Evaluate:

Answer: 


Question (16): Evaluate:

Answer: 



Question (117):
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Question (18): Prove that cot q - tan q = 2cot 2q.
Answer: 

Aliter:


Question (19):
Answer: 



Question (20): Prove that 4 sin 18o cos 36o = 1.
Answer:  LHS = 4 cos 72o cos 36o



Question (21):
Answer: 
Question (22):
Answer: 

Question (23): Prove that sin 3q - sin q - sin 5q = sin 3q (1 - 2 cos 2q).
Answer:  LHS = sin 3q - (sin 5q + sinq)
= sin 3q - (2 cos 2q sin3q)
= sin 3q (1 - 2 cos 2q)
Question (24):
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Question (25):
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Question (26):
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Question (27): Prove that cos 5o - sin 25o = sin 35o.
Answer: 

=2sin30sin35


Question (28): Prove that cos 80o + cos 40o - cos 20o = 0.
Answer: 


Question (29):
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Question (30):
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Question (31):
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Question (32):
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Question (33):
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Question (34):
Answer: 



let A=15


Question (35):
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Question (36): Prove that


Answer: 









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