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If cos theta=0.3090, which of the following represents approximate values of sin theta and tan theta, for 0degrees
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If cos theta=0.3090, which of the following represents approximate values of sin theta and tan theta, for 0degrees

User Borut Tomazin
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2 Answers

1 vote

Answer: B

Explanation:

Edge

User Sbaxter
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5 votes
the complete question in the attached figure

we know that
0° < angle theta < 90°
so
angle theta belong to the first quadrant
sin theta and cos theta are positive

cos theta=0.3090
cos²theta+sin²theta=1
step 1
find sin theta
sin²theta=1-cos²theta------> 1-(0.3090)²-----> sin²theta=0.904519
sin theta=√0.904519------> sin theta=0.9511

the answer part a) is
sin theta=0.9511

step 2
find tan theta
tan theta=sin theta/cos theta-----> tan theta=0.9511/0.3090
tan theta=3.0780

the answer part b) is
tan theta=3.0780

the final answer is
sin theta=0.9511
tan theta=3.0780

If cos theta=0.3090, which of the following represents approximate values of sin theta-example-1
User CMY
by
5.4k points
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