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What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?
A
cos x sin y
B
(sin y)\/(sin x)
C
sin z
D
sin x tan y
Correct Answer:
(sin y)\/(sin x)
What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?
A
3\/2
B
\u2013 3
C
1
D
0
What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?
A
0
B
tan2x
C
1
D
2 tan x
What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?
A
tan 2\u03b8
B
cot 2\u03b8
C
cot \u03b8
D
cot 3\u03b8
What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?
A
-cos y
B
-sin y
C
cos x
D
tan y
What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?
A
1
B
sin ( A + B \u2013 C)
C
cos ( B + C \u2013 A)
D
0
The value of the expression:sin
2
1° + sin
2
11° + sin
2
21° + sin
2
31° + sin
2
41° + sin
2
45° + sin
2
49° + sin
2
59° + sin
2
69° + sin
2
79° + sin
2
89° is?
A
0
B
$${\text{5}}\frac{1}{2}$$
C
$${\text{4}}\frac{1}{2}$$
D
5
What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?
A
cot (\u03b8\/2)
B
tan (\u03b8\/2)
C
sin \u03b8
D
cos \u03b8
What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?
A
sin (A\/2) cos A
B
cot (A\/2)
C
tan (A\/2)
D
sin A cos (A\/2)
What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?
A
sin 2\u03b8 sin 4\u03b8
B
cos 2\u03b8 cos 6\u03b8
C
sin 2\u03b8 sin 6\u03b8
D
cos 2\u03b8 cos 4\u03b8
What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?
A
1
B
2 tan x
C
tan 2 x
D
tan (3 x\/2)