Tan100+4sin100=?
As tan(90+10)+4sin(90+10)
-cot10+4cos10
Aftr that i don't know what to do
-square root of 3
I am not sure there is much you can do but calculate the values.
To simplify the expression further, you can use the trigonometric identities to rewrite cot(10) and cos(10) in terms of sin and cos functions.
First, let's rewrite cot(10):
cot(10) = 1/tan(10) = 1/tan(90 - 80) = 1/cot(80) = tan(80)
So, cot(10) can be rewritten as tan(80).
Next, let's rewrite cos(10):
cos(10) = sin(90 - 10)
Now, let's substitute these rewritten values back into the given expression:
cot(10) + 4*cos(10) = tan(80) + 4*sin(90 - 10)
Finally, we can simplify it further:
tan(80) + 4*sin(90 - 10) = tan(80) + 4*sin(80)
Note that sin(90 - 10) is equal to sin(80) due to the cosine function's complementary relationship with the sine function.
Therefore, the simplified expression is:
tan(80) + 4*sin(80)
Now, if you want to find the numerical value for tan(80) and sin(80), you can use a scientific calculator or an online trigonometric calculator.