<u>Answer:</u>
The basic identity used is 
.
<u>Solution:
</u>
In this problem some of the basic trigonometric identities are used to prove the given expression.
Let’s first take the LHS:
Step one:
The sum of squares of Sine and Cosine is 1 which is:
On substituting the above identity in the given expression, we get,
Step two:
The reciprocal of cosine is secant which is:
On substituting the above identity in equation (1), we get,
Thus, RHS is obtained.
Using the identity , the given expression is verified.
Answer:
-4/3
Step-by-step explanation:
Use the slope formula:
-4 - 12/ 13 - 1
-16/12
Simplifies to -4/3
Answer:
Step-by-step explanation:
In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS
Therefore, your equation would look like this:
a⁵ × (a³)² = a⁵ × 
When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.
With that information, your final answer would be
as 5+6 = 11
Hope this Helps!
Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
