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

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=(1)/(2)`

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

d. The function

`sin((\pi)/(12)x)`

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

`2\pi*(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