Join the conversation on IDNLearn.com and get the answers you seek from experts. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

If  lies in the quadrant IV. What can be the value of cos  ?

Sagot :

For sin : First and second are positive Third and Fouth are negative

For cos : first and Fourth are positive, 270°-360°

Answer:

When Ф lies in quadrant IV the value of cos Ф lies in [0, 1].

Step-by-step explanation:

Given the angle Ф lies in quadrant IV. we have to find the value of cos Ф

As we know, cos Ф is positive only in first and fourth quadrant i.e when Ф lies in 0<Ф<90 and 270<Ф<360.

Hence, cos Ф is positive when Ф lies in 1st and 4th quadrant.

&  cos Ф is negative when Ф lies in 2nd and 3rd quadrant.

As, cosФ range from [-1,1]

but in 4th quadrant [0,1]

Hence, when Ф lies in quadrant IV the value of cos Ф lies in [0, 1].