If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).

If cos(t) = 2/7 and t is in the 4th quadrant, then sin(t) = -(3√5)/7

Since;

Sin²t + Cos²t = 1

The expression above is from Pythagoras trigonometric identity;

Therefore;

Sin²t + (2/7)² = 1Sin²t = (1 - 4/49)Sin²t = 45/49Sin t = √(45/49)

Sin (t) = (3√5)/7

However, only Cosine of angles in the fourth quadrant are positive.

Therefore, Sin (t) = -(3√5)/7

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We can use the Pythagorean Trigonometric Identity which says:


Since we need to find sin(t), we have to solve for it:


Let's plug in the given cos(t) value:


And solve sin(t):


Simplify further:


And it all simplifies down to:


Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is: 


Hope this helps!

Yes. there is a constant ratio of number of calories to gram of protein.12/3=24/4=32/8=44/11=4

Ithink it is b and d