Write the expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression. sec beta - cos beta. a.1-cos^2beta b. sin^2beta c. cos^2beta d.1 e. sin beta tan beta

E

Step-by-step explanation:

The expression given is:  sec β - cos β ( i will write "beta" instead of the symbol β)

We know that

Substituting this into the the expression and doing some algebra manipulation, we have:

Using the identity   (also ), we can now write:

We know , substituting this, we have:

Answer choice E is the right answer.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m