Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1
tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1
Answer: the system has no solution
Step-by-step explanation: for a solution to occur the lines have to cross
Answer:
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x = π/6, 5π/6, 7π/6, 11π/6
Step-by-step explanation:
The only things you need to know are 2 things:
1.) 
, the exponent of trig functions are written in the middle
2.) 
, csc() is just the inverse of sin()
-7 - 7( 8x - 7 ) = -19 + 5x
⇔ -56x + 49 = -12 + 5x
⇔ -61x = -61
⇔ x = 1
