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solve on the interval [0, 2pi). 1.2sin^2(x)+cos(x)=1
solve each on the interval (0, 2pi)

1. tan(x)sec(x)=3tan(x)
2. tan^2(x)-3tan(x)-2=0
solve each on the interval (0, 2pi)

1. 2cos^2(x)-3cos(x)+1=0
2. 2sin^2(x)+cos(x)=1
3. cos(x)=-0.8092
solve on the interval [0, 2pi).

1.2sin^2(x)+cos(x)=1

2.cos(x)=-0.8092

3.tan(x)sec(x)=3tan(x)
solve on the interval [0, 2pi).

2cos^2(x)-3cos(x)+1=0
A 20 ft ladder leans against a building making an angle of 72 degrees with the ground. find the nearest foot the distnace between the base of the ladder and building.
Hi I am really struggling with this:

Re-write the expression 5.5 Cos t + 7.8 Sin t, in the form R sin (t+α).

Any help would be greatly appreciated as im pulling my hair out with this now!
if tan a-tan b=p and cot b-cot a=q then cot(a-b)is?
sin60=?
tan60=?
sec60=?
given that sin Ɵ = 2/55 and cos Φ = -2/5 with Ɵ and Φ in Q-II.

1. Determine cos Ɵ?

2. Find sin Φ?

3. What is sin (Ɵ+Φ)?

4. Find cos (Ɵ+Φ)?

5. Determine tan (Ɵ-Φ)?

6. Equivalent to sin (Ɵ-Φ)?
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