sin A=sqrt(33)/7,
tan A=sqrt(33)/4,
csc A=7sqrt(33)/33,
sec A=7/4,
cot A=4sqrt(33)/33
Practice makes perfect
In a right triangle, ∠A is an acute angle. Cosine is defined as the ratio of the adjecent side to the hypotenuse of an angle. We are given that cos A= 47.
cos = adj/hyp ⇒ cos A = 4 7
Now, let's draw a right triangle satisfying these conditions.
Let's find the opposite side by substituting b= 4 and c= 7 into the Pythagorean Theorem.
Rationalizing a denominator means eliminating the radical expression from the denominator. Let's rationalize the denominator of the expression 7sqrt(33). To do so, we will expand the fraction by multiplying the numerator and denominator by sqrt(33).
