Answer:
30°
Step-by-step explanation:
The area of a triangle given sides a and b and angle C is:
area = (ab × sin C)/2
Here we are given sides a and c, and we are looking for angle B, so we have
area = ac × sin B
12 cm² = [(8 cm)(6 cm)(sin B)]/2
24 = 48sin B
sin B = 0.5
B = 30°
<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.
The derivative is the gradient.
At any local Max's or min's the derivative graph will cut the x axis.
For example a graph x^2
The derivative will have a positive gradient as the gradient is increasing at the lower values then at x=0 the gradient is 0 so the derivative graph will pass the point (0,0). Remember that the derivative graph will be linear.
To get more detail find the points the graph crosses the x axis and put into for a(x-q)(x-p)=0 you will have to solve for 'a' by finding a point on the graph and substituting it in. Then you can find the derivative of that function and graph it
Answer:
5x 1/4
Step-by-step explanation:
3,4,5,6,7.....
re-arrange : 76,534...this would be the largest 5 digit even number with the hundreds place having a 5 in it