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2 years ago

The angle \theta_1θ

Mathematics

1 answer:

otez555 [7]2 years ago

3 0

Answer:

sin ( θ ) = 3√21 / 17

Step-by-step explanation:

Given:-

- The angle (θ) lies in the first quadrant. Where theta is defined as:

cos ( θ ) = 10 / 17

Find:-

- Find sin ( θ ) :

Solution:-

- We will draw a right angle triangle in the first quadrant. With base, B = 10 and hypotenuse H = 17. Since,

cos ( θ ) = B / H = 10 / 17

- Using pythagorean theorem determine the perpendicular side length:

H^2 - B^2 = P^2

17^2 - 10^2 = P^2

√189 = P

P = 3√21

- Now evaluate sin ( θ ):

sin ( θ ) = P / H

sin ( θ ) = 3√21 / 17

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Data given and notation

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$\alpha=0.05$ represent the significance level for the hypothesis test.

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$p_v$ represent the p value for the test (variable of interest)

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