cristinak7 cristinak7

31-05-2024
Mathematics

Answered

Assume that θ is a positive acute angle. Given: , cosine, theta, equals, start fraction, 8, divided by, 17, end fraction Given: cosθ= 17 8 Find: , sine, 2, theta Find: sin2θ

Answer :

jsimpson11000 jsimpson11000

31-05-2024

Answer:

Step-by-step explanation:

Since this is in Quadrant I sin Θ is also positive

The trig identity : sin^2 + cos^2 = 1

will show sin Θ = + 15/17

THEN...another trig identity :

sin (2Θ) = 2 sin cos = 2 ( 8/17)(15/17) = 240/289 = .8304

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