sin B=3sqrt(10)/10,
cos B=sqrt(10)/10,
csc B=sqrt(10)/3,
sec B=sqrt(10),
cot B=1/3
Practice makes perfect
In a right triangle, ∠A and ∠B are acute angles while ∠C is the right angle.
Tangent is defined as the ratio of the opposite side to the adjacent side of an angle. We are given that tan B=3.
Note that 3 can be written as 3 1.
tan = opp/adj ⇒ tan B = 3 1
Now, let's draw a right triangle satisfying these conditions.
Let's find the hypotenuse by substituting a= 1 and b= 3 into the Pythagorean Theorem.
Rationalizing a denominator means eliminating the radical expression from the denominator. Let's rationalize the denominator of the expression 3sqrt(10). To do so, we will expand the fraction by multiplying the numerator and denominator by sqrt(10).
