# trig

posted by .

Ido not understand why the rt triangel was in ratio of 1:√3:2 in Sue's question
where in triangle abc c isthert angle and sin a √3/2 - find csc b-please explain where the 1 comes from

• trig -

(We know that in rt triangle
Sin=P/H)

given sinA=_/3/2

SO P=_/3 , H=2

ACB is rt triangle
by pythagoras theorem

H^2=P^2+B^2

B^2=H^2-P^2

B^2=(2)^2-(_/3)^2

B^2=4-3

B^2=1

B=_/1

B=1

(where P=perpendicular,
B=base,H=hypotenuse)

• trig -

thank you.

## Similar Questions

1. ### Inverse trigonometric functions

How to find the value of arctan(2 sin (pi/3)) without using calculator or sketching a triangle. It is like taking u=something and then evaluating. Thanks. the solution relies on the fact that you should know the ratio of sides of the …
2. ### Trig

If secx = 8 and -pi/2 < x < 0, find the exact value of sin2x Use the identity sin 2x = 2(sinx)(cosx) if secx = 8, then cosx = 1/8 where x is in the fourth quadrant. consider a right angled triangle with x=1, r=8, then y=?
3. ### Algebra

How would i complete these problems? 1. (√6mn)^5 2. ^3√16x - ^3√2x^4 3.^4√x • ^3√2x 4. ^3√72x^8 5. √63a^5b • √27a^6b^4 and are these problems correct?
4. ### Math

Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x-y=1 and x+y=-2. a. (3√2 +√10)x-(√10 + √2)y-2√10+√2=0 b. (3√2 - √10)x+(√10 - √2)y+2√10+√2=0 …
5. ### algebra 1 help

simplifying square roots 1) find volume of this prism?
6. ### heeeeeeelp geometry

In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| …
7. ### Math help Ms. Sue please

1. What is the simplified form of the expression?