Question

this is technically 1 problem, but I understand if you can only look at part of it. do as much as you can

Answer 1

SOLUTION:

a.

$sin(a+b)=sina+sinb$

This is FALSE ; the correct formula is ;

$sin(a+b)=sina(cosb)+cosa(sinb)$

b. The equation

$cos\theta=2$

has multiple solutions, this is FALSE. It has no solution. The maximum value of cosine is 1, It can't go above 1.

c. The equation

$sin\theta=\frac{1}{2}$

has exactly one solution, this is also FALSE, the equation has an infinite number of solutions.

d. The function

$sin(\frac{\pi}{12}x)$

has a period of 12, this is FALSE, the period is given as;

$2\pi\times\frac{12}{\pi}=24$

Thus, the period is 24.

e. Of the six basic trigonometric functions, only tangent and cotangent have a range of

$(-\infty,\infty)$

This is TRUE