Question

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Answer 1

Answer:

5secθ−12cosecθ=0

5 1/cosθ−12 1/sinθ=0

5sinθ=12cosθ

tanθ=12/5

Now, we know that perpendicular = 12 and base = 5( according to tan θ) therefore, using the Pythagoras theorem to get the hypotenuse, we get-

(perpendicular)2+(base)2=(hypotenuse)^2

(12)^2+(5)^2=(hypotenuse)^2. (hypotenuse)2=169.

Now, on taking square root of both the side, we get

Now, on taking square root of both the side, we getHypotenuse=13

Now, on taking square root of both the side, we getHypotenuse=13Now,

cosθ=base/hypotenuse= 5/13.

Hope it helps you ◕‿◕