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

cosine theta equals plus or minus square root of seven over four, tangent theta equals plus or minus two times square root of seven over seven

cosine theta equals plus or minus seven over four, tangent theta equals negative three over seven

cosine theta equals plus or minus square root of seven over 4, tangent theta equals plus or minus three over seven

cosine theta equals plus or minus seven over four, tangent theta equals negative one over seven

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.