What is cotA + cscA = ?
tanA2
cotA2
2tanA2
2cotA2
What is cotA2 - tanA2 = ?
tan(A)
cot(A)
2tan(A)
2cot(A)
If angle C of a triangle ABC is a right angle, then what is tan(A ) + tan(B) equal to ?
a2 - b2ab
a2bc
b2ca
c2ab
What is cos80° + cos40° - cos20° = ?
2
1
0
- 19
If 2tan(A) = 3tan(B) = 1, then what is tan (A - B) equal to ?
15
16
17
19
What is sin(α + β) - 2sinαcosβ + sin (α - β) equal to ?
2sinα
2sinβ
sinα + sinβ
If tan(A) – tan(B) = x and cot(B) – cot(A) = y, then what is the value of cot(A - B) ?
1x + 1y
1y - 1x
xyx + y
1 + 1xy
What is the length of the chord of a unit circle which subtends an angle θ at the centre ?
sinθ2
cosθ2
2sinθ2
2cosθ2
Consider the following statements :
1) cos(θ) + sec(θ) can never be equal to 1.5
2) tan(θ) + cot(θ) can never be less than 2
Which of the above statements is/are correct ?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
C.
Statement 1 : We can put different values of θ to satisfy this statement.⇒ If θ = 45cos45 + sec45 = 12 + 2 = 2.12Means cos45 + sec45 ≠ 32 If θ = 60cos60 + sec60 = 12 + 2 = 2.5Means cos60 + sec460 ≠ 32Hence, we can say that cosθ + secθ ≠ 32Statement 2 : tanθ + cotθ⇒ sinθcosθ + cosθsinθ⇒ sin2θ + cos2θsinθcosθ= 1sinθcosθ= 22sinθcosθ = 2sin2θ= 2csc2θWe know the range of cscθ, - ∞, - 1 ∪ 1, ∞This range is same for csc2θ
If If cscθ = 2921 where 0 < θ < 90°, then what is the value of 4secθ + 4tanθ = ?
5
10
20