Relating Trigonometric Functions
Key Questions

Answer:
As below
Explanation:
Quotient Identities. There are two quotient identities that can be used in right triangle trigonometry.
A quotient identity defines the relations for tangent and cotangent in terms of sine and cosine. ...
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Remember that the difference between an equation and an identity is that an identity will be true for ALL values.

It means to determine if the value of a trigonometric function is positive or negative; for example, since
#sin({3pi}/2)=1<0# , its sign is negative, and since#cos(pi/3)=1/2>0# , its sign is positive.
I hope that this was helpful.

Pythagorean Identity
#cos^2theta+sin^2theta=1#
I hope that this was helpful.

The reciprocal functions are as follows:
#sin(a) * csc(a) = 1# #cos(a) * sec(a) = 1# #tan(a) * cot(a) = 1#