in triangle or if r= 90° sin Q=1/2 then 3 cos q - 4 cos cube Q is equal is
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The answer is 0.
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Answer:
In triangle or if r= 90° sin Q=1/2 then 3 cos q - 4 cos cube Q is equal is
answer is :- 0
Step-by-step explanation:
In Pythagoras theorem:
The statement of Pythagoras theorem is , in the right triangle the square of hypotenuse is equal to the sum of square of perpendicular and square of base
Formula is as follows:
(hypo)² = (perp)² + (base)²
given: sin Q= 1/2
sin Q = (perp)/(hypo)
Cos Q = (base)/(hypo)
sin Q = 1/2
(i.e., sin 30° = 1/2)
Q = 30°
Since, 3 cos 30° - 4 cos³ 30° (i.e., cos 30° = √3/2)
= 3 x √3/2 - 4 (√3/2)³
= 3√3/2 - 12√3/8
= 3√3/2-3√3/2
= 0
Hence , the solution of the 3 cos 30° - 4 cos³ 30° is 0
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