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Xelga [282]
3 years ago
14

Please help I am struggling

Mathematics
1 answer:
likoan [24]3 years ago
4 0

☆ The relation between x and y is <u>y</u><u> </u><u>=</u><u> </u><u>a</u><u> </u><u>cos</u><u> </u><u>x°</u><u> </u><u>+</u><u>b</u><u> </u>

Taking 1st condition from the table .

→ x = 0 and y = 9

→ y = a + cos 0° + b

→ 9 = a + cos 0° + b

☆ We know that cos 0° = 1

→ 9 = a(1) + b

<h3>→ a + b = 9. equation 1st </h3>

Now taking other condition

→ x = 90° and y = 1

→ y = a cos 90° + b

→ 1 = a cos 90° + b

☆ We know that cos 90° is 0

→ 1 = a(0) + b

<h3>→ 1 = b </h3>

<u>Putt</u><u>ing</u><u> the</u><u> </u><u>val</u><u>ue</u><u> of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>equation</u><u> </u><u>1</u><u>s</u><u>t</u><u> </u><u>.</u><u> </u>

→ 9 = a + 1

→ <u>a</u><u> </u><u>=</u><u> </u><u>8</u><u> </u><u>.</u><u> </u>

<u>Now</u><u> </u><u>taki</u><u>ng</u><u> the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>acc</u><u>ording</u><u> to</u><u> the</u><u> </u><u>ques</u><u>tion</u><u> </u><u>.</u>

☆ x = 45 °

→ y = 8 ( cos 45°) + 1

☆ We know that cos 45° is 1/√2

→ y = 8(1/√2) + 1

→ 8 = 4×√2×√2

<h3>y = 4√2 +1 </h3>

So the answer is <u>4</u><u>√</u><u>2</u><u>+</u><u>1</u><u> </u>

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