Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.

Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.

Let sin x = A, cos x = B, sin y = C, and cos y = D: sin(x+y)+sin(x-y)=

In ΔABC{math:ΔABC}, a = 7, c = 10 and B = 70.17°, find b. (Round to the nearest tenth.)

Let sin x = A, cos x = B, sin y = C, and cos y = D: cos(x+y)=

If loga x=2, loga y=3,  and loga z=4, what is log⁡axz3y2z−23{math:log⁡axz3y2z−23}?

If (4, –3) is a point on the terminal side of an angle β, then sin⁡ β{math:sin⁡ β}=

Convert (-6, -8) to polar form

5π4{math:5π4}radians is equivalent to ___________ degrees.

Consider the following statement: 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)}Given the following possible steps for proof by math induction: Show 9+14+19+80+…+(5(n+1)+4)=(n+1)2(5(n+1)+13){math:9+14+19+80+…+(5(n+1)+4)=(n+1)2(5(n+1)+13)} must be true. Show 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)} must be a natural number. Suppose 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)} is true. Using logical deduction show 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)} must be true. Show 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)} must be positive. Show 9+14+19+80+…+(5n+4)=n2(5n+13){math:9+14+19+80+…+(5n+4)=n2(5n+13)} holds for n=1 . Indicate which of the following orders best provides a proof by math induction: