Question

Find value of trig function without finding the angle a

if sin(a) =4/11 and a is in quadrant 2, than cos(a) =

If sin(a) =-1/4 and a is in quadrant 4, than cos(a)=

if cos(a)=-1/13 and a is in quadrant 3, than sin(a)=

if cos(a) =3/5 and a is in quadrant 4, than sin(a) =

Answer 1

(a)

The trigonometric function value is .

Then is the quadrant .

Find value.

From the Pythagorean theorem,

Since, is quadrant , then is positive and is negative.

The value of

Answer 2

(b)

The trigonometric function value is .

Then is the quadrant .

Find value.

From the Pythagorean theorem,

Since, is the quadrant , then is positive and is negative.

The value of

Answer 3

(c)

The trigonometric function value is .

Then is in quadrant .

Find value.

From the Pythagorean theorem,

Since, is in quadrant , then is positive and are negative.

The value of

Answer 4

(d)

The trigonometric function value is .

Then is the quadrant .

Find value.

From the Pythagorean theorem,

Since, is the quadrant , then is positive and is negative.

The value of