(A). The value of 
(B). The value of
and 
(C). The value of
and 
(D). The value of
and 
(E). The value of
and 
(F). The value of
and 
Further explanation:
The Pythagorean formula can be expressed as,

Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.
The formula for sin of angle a can be expressed as

The formula for cos of angle a can be expressed as

The formula for tan of angle a can be expressed as

Given:
(A) 
(B)
(C)
(D)
(E)
(F)
Explanation:
(A)

The perpendicular is \sqrt 3 and the hypotenuse is 5.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of \tan a can be calculated as follows,

(B)

The base is 1 and the hypotenuse is 3.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of
a can be calculated as follows,

(C)

The base is 1 and the perpendicular is \sqrt 5.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of
a can be calculated as follows,

(D)

The base is 4 and the hypotenuse is 5.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of
a can be calculated as follows,

(E)

The base is 1 and the perpendicular is 5.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of
a can be calculated as follows,

(F)

Value of 
The base is 8 and the hypotenuse is 10.
The base can be calculated with the help of Pythagorean formula.

The
a can be calculated as follows,

The value of \tan a can be calculated as follows,

Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: perpendicular bisectors, sides, right angle triangle, triangle, altitudes, hypotenuse, on the triangle, hypotenuse, trigonometric functions.