Answer:


Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

we can substitute the value of sec(θ) in this equation:

and solve for for cos(θ)

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.




- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:


and since 

Answer:
First one is 6 16/21
Second one is 3 14/15
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer:
-18
Step-by-step explanation:
Multiply the numbers
3*6
-7 + 9 - 18 - (5 + 9) ÷ 7
Add the numbers
5+9
-7 + 9 - 18 - 14 ÷ 7
Divide the numbers
14÷ 7
-7 + 9 - 18 - 2
Calculate the sum or difference
-18
Answer = -18
Answer:
x= 5 , for c to be same on each eqn