Question

If sinθ.cosθ=4 , then (sinθ+cosθ²)=​

Answer 1

Answer:

This will help you

Step-by-step explanation:

sinθ+cosθ=a

sin  

4

θ+cos  

4

θ=(sin  

2

θ+cos  

2

θ)  

2

−2sin  

2

θcos  

2

θ

= 1 - 2sin  

2

θcos  

2

θ

Now, (sinθ+cosθ)  

2

=sin  

2

θ+cos  

2

θ+2sinθcosθ

a  

2

=1+2sinθcosθ

sinθcosθ=  

2

1

​  

(a  

2

−1)

Hence, substituting the value of sinθcosθ, we get,

sin  

4

θ+cos  

4

θ=1−  

2

1

​  

(a  

2

−1)  

2