Answer:
200 dollars
Step-by-step explanation:
800/100 25
8 times 25=200
cos2
θ.
Firstly, express tan θ as sin θ/cos θ, then use the Pythagorean identity to find sin2 θ and cos2 θ. Solve for sin2 θ and cos2 θ using the given tan θ. The final result is sin2 θ - cos2 θ = -4/5.
If 3 tan θ = 1, then to find the value of sin2 θ − cos2 θ, you first need to express tan θ in terms of sine and cosine, which gives you tan θ = sin θ/cos θ. Now, since 3 tan θ = 3 (sin θ/cos θ) = 1, then sin θ/cos θ = 1/3.
To find sin2 θ and cos2 θ, you can use the Pythagorean identity, 1 = sin2 θ + cos2 θ. We already have a value for tan θ, which allows us to solve for sin θ and cos θ individually. From sin θ/cos θ = 1/3, you can cross multiply to find that sin θ = cos θ / 3. Now, if you square both sides of the equation, you'll get sin2 θ = (cos θ)2 / 9.
Using the Pythagorean identity, let cos2 θ = x, then sin2 θ = x/9, and according to the identity, x + x/9 = 1, or 10x/9 = 1, which implies x = 9/10. Therefore, sin2 θ = (9/10)/9 = 1/10 and cos2 θ = 9/10. Finally, sin2 θ - cos2 θ = 1/10 - 9/10 = -8/10 or -4/5.
#SPJ2
Answer:
sin2θ - cos2θ = 2sin² θ
Step-by-step explanation:
hello :
tan θ = 1 means : sinθ /cosθ so : sinθ =cosθ
sin2θ = 2sin θ cosθ =2sin² θ
cos2θ = cos²θ - sin²θ = sin²θ - sin²θ =0
sin2θ - cos2θ = 2sin² θ