If the equation cos 4 θ + sin 4 θ + λ = 0 has real solutions for θ then λ lies in interval

Question

If the equation cos 4 &#952; + sin 4 &#952; + &#955; = 0 has real solutions for &#952; then &#955; lies in interval

Aicharya · Accepted Answer

- &#955; = sin 4 &#952; + cos 4 &#952; = sin 2 &#952; + cos 2 &#952; 2 - 2 sin 2 &#952; cos 2 &#952; = 1 - 4 sin 2 &#952; cos 2 &#952; 2 = 1 - sin 2 2 &#952; 2 &#8658; &#955; = sin 2 2 &#952; 2 - 1 &#955; &#8712; - 1 , - 1 2

If the equation cos 4 θ + sin 4 θ + λ = 0 has real solutions for θ then λ lies in…

Solution

If the equation cos 4 &#952; + sin 4 &#952; + &#955; = 0 has real solutions for &#952; then &#955; lies in…

Solution

If the equation cos 4 θ + sin 4 θ + λ = 0 has real solutions for θ then λ lies in…