Question

014. What is the value of TanX , if cos X = 1/2​

Answer 1

Answer:

cosX=1/2=B/H

(2)^2=(1)^2+P^2

P^2=3

P=√3.

TanX=P/B

=√3/1.

Answer 2

Answer:

If cos(x) = 1/2, what is sin(x) and tan(x)?

This problem can be solved rather simply by recalling the famous Pythagorean identity:

cos2x+sin2x≡1⟹sinx≡±1−cos2x−−−−−−−−√

We can use this to find all values of sinx given cosx :

sinx=±1−12−−−−−√=±3–√2

To find tanx , we recall that

tanx≡sinxcosx

We must use both the positive and negative values for sinx , meaning that tanx will also take on two possible values:

tanx=±3√212=±3–√

Therefore, we have found that

sinx=±3–√2, tanx=±3–√

Step-by-step explanation:

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