URGENT TRIG HELP!?

Question

I desperately need help on these questions. If you could show your work on the first 4 so I can understand that would be great. 1. If sinx=-12/13 and tanx is positive, find the values of cosx and tanx. 2. Complete the identity: cosx/(1+sinx)= A. (1-sinx/cosx) B. sinx C. (1+secx)/secx D. (1+cscx)/cscx 3.... show more

Answer 1

Step 1:

(1)

The trigonometric expression is and is positive.

In quadrant III, tangent and cotangent functions are positive and remaining functions are negative.

Here lies in quadrant III.

.

From Pythagorean theorem,

The square of the hypotenuse is equal to sum the squares of the other two sides.

.

In quadrant III, cosine functions is negative.

.

.

.

Solution :

and .

Answer 2

Step 1:

(2)

The identity is .

Multiple and divide with .

Pythagorean identity : .

                  

.

Option (A) is the correct answer.

Solution :

.