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Strike441 [17]
3 years ago
14

Which expression is equivalent to the measure of

Mathematics
1 answer:
Bess [88]3 years ago
3 0

your answer is the first one

110 - (180 - 130) = 60°

watch the picture.


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Use the sum to product formula to find exact values: if cos255 - cos195 = squrtroot a/ 2 then a=
hodyreva [135]

By applying <em>trigonometric</em> expression and <em>direct</em> comparison, we conclude that a = 2 such cos 255° - cos 195° = √a / 2

<h3>How to analyze a trigonometric expression</h3>

In this question we need to simplify a <em>trigonometric</em> expression in order to find the value of a. In this case, we need to use the following formula:

\cos \theta - \cos \xi = - 2\cdot \sin \left(\frac{\theta + \xi}{2} \right)\cdot \sin \left(\frac{\theta - \xi}{2} \right)

Then,

cos 255° - cos 195° = - 2 · sin 225° · sin 30°

cos 255° - cos 195° = - 2 · sin (- 135°) · sin 30°

cos 255° - cos 195° = 2 · sin 135° · sin 30°

cos 255° - cos 195° = 2 · (√2 / 2) · (1/2)

cos 255° - cos 195° = √2 / 2

Then, by <em>direct</em> comparison we find that a = 2.

To learn more on trigonometric expressions: brainly.com/question/10083069

#SPJ1

8 0
2 years ago
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