TRIGNOMETRIC RATIOS OF ANGLES & EQUATIONS
- What is the maximum value of 3
cos x + 4 sin x + 5?
(a) 5 (b) 7 (c) 10 (d) 12 - If sin Ѳ + cosec Ѳ=2, then
is equal to:
(a) 1 (b) 4 (c) 2 (d) none of these - If sin Ѳ= , then what is
(1+ ) equal to?
(a) 1 (b) 0 (c) (d) 2 sin Ѳ - If sin A= √^ and sin B= √^ ,
where A and B are positive acute
angles, then A + B is equal to:
(a) π (b) π (c) π (d) π
- What is equal to?
(a) 2 tan x (b) 2 cosec x (c) 2 cos
x (d) 2 sin x
- The value of^
(^)
is equal to:^
(a) sin 2Ѳ (b) cos 2Ѳ (c) cosec 2Ѳ
(d) sec 2Ѳ
- If x = y cos.^ π/= z cos.^ π/, then
what is xy + yz + zx equal to?
(a) - 1 (b) 0 (c) 1 (d) 2
- If sin A + sin B + sin C=3, then
what is cos A + cos B + cos C equal
to?
(a) - 1 (b) 0 (c) 1 (d) 3
9. If tan A= ½ and tan B= 1/3, then
what is the value of 4A + 4B?
(a) π/4 (b) π/2 (c) π (d) 2π
10. If (1+tanѲ)(1+tanø)=2, then
what is (Ѳ +ø) equal to?
(a) 30 (b) 45 (c) 60 (d) 90
11. If α and β are positive angles
such that α+β= π , then what is
(1+tanα)(1+tanβ) equal to?
(a) 0 (b) 1 (c) 2 (d) 3
12. What is the value of sin 15 sin
75 ?
(a)^ (b)^ (c) (d) 1
13. What is the value of
, when Ѳ=
?^
(a) 0 (b) 1 (c) - 1 (d) None of
these- If cos x ≠ -1, then what is
equal to?
(a) – cot^ (b) cot^ (c) tan^ (d) -
tan^ - The angle A lies in the third
quadrant and it satisfies the
equation 4 ( )= 1.
What is the measure of the angle
A?