Question

Solve it :

5 sinΦ + 12 cos Φ =1 ​

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

Answer:

Step-by-step explanation:

5sinθ+12cosθ=1

Divide both sides by √(52+122) = 13 to get

(5/13)sinθ+(12/13)cosθ = 1/13

Draw a right triangle with sides of lengths 5, 12, and 13. Let α be the angle of the triangle opposite the side of length 12.

Then, cosαsinθ + sinαcosθ = 1/13 and α = sin-1(12/13) = 67.38º

sin(θ+67.38°) = 1/13

θ+67.38° = sin-1(1/13) or 180° - sin-1(1/13)

θ+67.38º = 4.41º or 175.59º

θ = -62.97° or 108.21°

Solutions between 0° and 360° are -62.97°+360° and 108.21°

= 297.03° and 108.21°

All solutions: 297.03° + k(360°), 108.21° + k(360°), where k=any integer

Hope it helps u mark as brainliest please