Question

please answer guys. Really is am hoping all of you. you can also answer any one in the following. please help me guys.​

Answer 1

Answer:

Q.1 .ans

cos θ:sin θ=1:2

cos θ/sin θ=1/2

2cos θ=sin θ____eq.1

now,

sin² θ+cos² θ=1

(2cos θ)²+cos² θ=1_____from eq.1

4cos² θ+cos² θ=1

5cos² θ=1

cos² θ=1/5

taking square root

cos θ=1/√5

now ,

2cos θ=sin θ

sin θ=2(1/√5)

sin θ=2/√5

now,

cos θ-2sin θ/4cos θ+2sin θ=(1/√5-4/√5)/ (4/√5+4/√5)

=-3/8