Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))
Answer:
19 ft.
Step-by-step explanation:
Pytahgorean theorm. A^2 + B ^2 = C^2
49 + 100 = 149
Square root the 149, which is ~12
That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.
Answer:
Cos A = 24/25, Tan A = 7/25
Step-by-step explanation:
Given that Sin A = 7/25
Sin = Opp/hyp
Therefore using Pythagoras theorem, adjacent will be;
= √(25²-7²)
= √576
= 24
Thus;
Cos A = adjacent/hypotenuse
= 24/25
Cos A = 24/25
Tan A = opp/hypotenuse
= 7/25
Tan A = 7/25
I’m not 100% sure but I believe it’s A
Answer:
Step-by-step explanation:
![a_{1} = 8\\a_{9} = 360 = a_{1} \cdot r^9 = 8 \cdot r^9\\r = \sqrt[9]{\frac{360}{9} } \cong 1.53](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%208%5C%5Ca_%7B9%7D%20%3D%20360%20%3D%20a_%7B1%7D%20%5Ccdot%20r%5E9%20%3D%208%20%5Ccdot%20r%5E9%5C%5Cr%20%3D%20%5Csqrt%5B9%5D%7B%5Cfrac%7B360%7D%7B9%7D%20%7D%20%20%5Ccong%201.53)
By the formula of a geometric series:
