To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Q1. The answer is <span>1 over 5 to the 3rd power.
</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is
To simplify, we will use two rules:
Therefore:
is the same as 1 over 5 to the 3rd power.
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>
So,
Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>
3 to the 7th over 3 to the 15th is
<span>45 ⋅ 42 is </span>
Answer:
the answer is A
Step-by-step explanation:
hope this help
Answer:
25%
Step-by-step explanation:
Discount = 1600 - 1200 = 400
Percentage discount