write the trigonometric table of special angles and find the value of sin²45°- 3cos³45°+2tan60°
Answers
Step-by-step explanation:
Special Angles
We will first look into the trigonometric functions of the angles 30˚, 45˚ and 60˚.
Let us consider 30˚ and 60˚.
These two angles form a 30˚-60˚-90˚ right triangle as shown.
The ratio of the sides of the triangle is
1 : √3 : 2
30-60-90 triangle
From the triangle we get the ratios as follows:
sin cos tan 30, 60
Next, we consider the 45˚ angle that forms a 45˚-45˚-90˚ right triangle as shown. The ratio of the sides of the triangle is
sin cos tan 45
Combining the two tables we get:
sin cos tan 30, 45, 60 table
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Solution(By Examveda Team)
In Give Question,
A + B = 8 ---- (i)
A + C =13 -----(ii)
B + D = 8 ----(iii)
C - D = 6 ----(iv)
Therefore equation (i) and (iii) are equal
A + B = B + D
=> A = D
Therefore, equation (iv) can be C - A = 6 ----- (v)
Now solving equation (ii) and (v), We Get C = 9.5 and A = 3.5
Put this value of A in equation in (i) B = 4.5 and value of C in equation (iv) we get D = 3.5
A = 3.5
B = 4.5
C = 9.5
D = 3.5
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