Question

1. Write the maximum and minimum values of sin 0.
2. Write the maximum and minimum values of cos 0.
1
?
3. What is the maximum value of
sec o
?
4. What is the maximum value of
1
cosec
4
5. If tan =
5
cos - sin
find the value of
cos 0 + sin
2
6. If cos
3
find the value of
sec 0 - 1
sec 0 + 1
7. If 3 cot 0 = 4, find the value of
4 cos - sin e
2 cos 0 + sin​

Answer 1

Answer:

maximum value of sin theta is 1

minimum value of sin theta is -1

maximum value of cos theta is 1

minimum value of cos theta is -1

Step-by-step explanation:

maximum value of sin theta is 1 when theta=90 degree.

minimum value of sin theta is-1 when theta=270 degree.

so,the range of values of sin theta is -1 less than or equal to sin theta less than or equal to 1.

As the point θ moves round the unit circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

maximum value of cos theta is 1 when thete=0 degree,360degree.

minimum value of cos theta is -1 when theta=180degree.

so,the range of values of cos theta is -1 less than or equal to cos theta less than or equal to 1