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Trigonometry



Question (1): Prove that (2 cos q + 1) (2 cos q - 1) = 2 cos 2q + 1.
Answer:

Question (2):
Answer:

Question (3):
Answer:

Question (4): Prove that
Answer:

Question (5):
Answer:

Question (6):
Answer: (i) Dividing (1) by (2) we get

Question (7):
Answer:

Question (8):
Answer: Let tan q = t then we have The above equation is a quadratic in t if t₁ = tan a, t₂ = tan b are the roots of the equation. Then

Question (9): If the angle q is divided into two parts a and b in such a way
Answer: By data a + b = q Dividing (1) by (2), we get

Question (10):
Answer:

Question (11): tan (x + y) and tan (x - y).
Answer:

Question (12):
Answer: Since x lies in II quadrant, cos x is negative.

Question (13):
Answer:

Question (14):
Answer:

Question (15):
Answer:

Question (16): Prove that tan x = cotx - 2 cot 2x.
Answer: [Add and subtract cos²x in the N^r]

Question (17):
Answer:

Question (18):
Answer:

Question (19):
Answer:

Question (20):
Answer: By componendo and dividendo, we get

Question (21):
Answer: By componendo and dividendo

Question (22):
Answer:

Question (23):
Answer:

Question (24):
Answer:

Question (25):
Answer:

Question (26):
Answer: ............................ ....................... Taking the product of two sides and cancelling the factors common to both sides, we get

Question (27):
Answer: LHS = sin 36^o sin 72^o sin 108^o sin 144^o

Question (28):
Answer:

Question (29):
Answer:

Question (30): Prove that
Answer:

Question (31):
Answer:

Question (32): Prove that 1 + tan 2q tan q = sec 2q.
Answer:

Question (33): Prove that 1 + cot 2q cot q = cosec 2q cot q.
Answer:

Question (34): Prove that cos 4A cos A - sin 4A sin A = cos 3A cos 2A - sin 3A sin 2A.
Answer: LHS = cos (4A + A) = cos 5A

Question (35):
Answer:

Question (36):
Answer:

Question (37):
Answer:

Question (38): Find tanA when cos 2A = 0.96.
Answer:

Question (39):
Answer:

Question (40):
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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