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CBSE Class 9 Answered

can you say the answer for my holiday assignment .i can't find the answer can someone help me  trignomentry-uses ratios ,special angles and identities  
Asked by SriVaishnavi | 02 Oct, 2018, 09:30: AM
answered-by-expert Expert Answer
trigonometry  is used in oceanography in calculating the height of tides in oceans. The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves. Also trigonometry has its applications in satellite systems.
 
Ratios:
begin mathsize 18px style sin space straight x space equals space fraction numerator 1 over denominator cosec space straight x end fraction
cos space straight x space equals space fraction numerator 1 over denominator sec space straight x end fraction
tan space straight x space equals fraction numerator sin space straight x over denominator cos space straight x end fraction
cot space straight x space equals fraction numerator 1 over denominator tan space straight x end fraction end style

special angles:
 
 
identities:
cos2x+sin2x=1
1+tan2x=sec2x
1+ cot2x = cosec2x
Answered by Arun | 04 Oct, 2018, 11:01: AM
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1) The students in XYz School decided to set up a triangular garden with a tiled pathway It. They chose the dimensions of the triangle to be 15 meters, 30 meters, and 35 meters for the side width of the pathway is 1.5 meters.  a) Calculate the area of the triangular garden.  b) What will be the new dimensions of the triangle if we include the pathway? c) Calculate the area of the triangular garden including the pathway. d) Determine the area covered by tiles for the pathway   2) In a triangular park, the lengths of the sides are 15 m, 22 m, and 25 m. A smaller triangular flower bed is to be made inside the park with midpoints of each side of the park as vertices. Flnd the area of the smaller triangular flower bed and the remalning area of the park outside the flower bed. 3) Sides of a triangle are in the ratio of 3: 5 :7 and its perimeter is 300cm. Its area will be: (1) a.1000V3 sq.cm   b.1500V3sq.cm    c.1700V3 sq.cm    d.1900V3s4.cm  4) The length of altitude of an equilateral triangle of side a unit is  a.v3/2a   b.v3/4a   c.V3/2a   d. none of these  5) Find the area of a triangle having the length of sides as 3,4 and 5 units respectively.  6) The length of the sides of a trilangle is 5x, 5x and 8x. Find the area of the triangle.  7) Find the area of the triangle having sides1 m, 2m and 2 m.   8) The sides of a triangular flower bed are 5m,8 m and11m.Find the area of the flower bed. 9) An isosceles right triangle has area 8cm². Find the length of its hypotenuse.
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