If $sin alpha = 4/5$ and $cos beta = 4/5$ , So which of the following is true? (Options Below)

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If $sin alpha = 4/5$ and $cos beta = 4/5$ , So which of the following is true? (Options Below)

a) $alpha ltbeta$

b) $alpha gt beta$

c) $alpha = beta$

d)None of the Above

1 Answer

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Answer 1 · 2018-03-11T04:06:26

See the answer below...

Explanation:

$sin alpha=4/5$

$cosbeta=4/5" "=>" "sinbeta=3/5$

$=>cos^2beta=16/25$

$=>1-sin^2beta=16/25$

$=>sin^2beta=9/25$

$=>sin beta=3/5$

$color(red)(3/5<4/5$
$=>sin beta < sin alpha$
$=>color(red)(ul(bar(|color(green)(beta < alpha))|$

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If $sin alpha = 4/5$ and $cos beta = 4/5$ , So which of the following is true? (Options Below)

a) $alpha ltbeta$

b) $alpha gt beta$

c) $alpha = beta$

d)None of the Above

1 Answer

Explanation:

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If sin alpha = 4/5sin alpha = 4/5 and cos beta = 4/5cos beta = 4/5, So which of the following is true? (Options Below)

a)alpha ltbetaalpha ltbeta b)alpha gt betaalpha gt beta c)alpha = betaalpha = beta d)None of the Above

1 Answer

Explanation:

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Impact of this question

If $sin alpha = 4/5$ and $cos beta = 4/5$ , So which of the following is true? (Options Below)

a) $alpha ltbeta$

b) $alpha gt beta$

c) $alpha = beta$

d)None of the Above