Question
Find the area of a circle. Statement I: The
radius of a circle is one-third of the area of the rectangle. Statement II: Area of rectangle is 210 cm2. For each of the following questions statements I and II are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question:Solution
Statement I & II: Radius of circle = (1/3)Â ĂÂ 210 = 70 cm Area of circle =Â Ďr2Â = (22/7)Â Ă 70 Ă 70 = 15400 cm2 Therefore both the statements are required to answer the question.
If 0 ⤠θ ⤠90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
sin10Ë x sin20Ë x sin40Ë =?Â
If (2sin A + cos A) = 3sin A, then find the value of cot A.
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).
If â3cosec 2x = 2, then the value of x:
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
- If sin (3A â 4B) = (1/2) and cos (A + B) = (â2/2), where 0° < A, B < 90°, then find the value of âAâ.
If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is: