If sine theta equals three over four, what are the values of cos θ and tan θ?

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.

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