Trigonometry

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Problem #1
Which one is NOT correct?
Which one is NOT correct?

Problem #2
Which of the following is NOT correct?

Problem #3
Which one is correct for all values of [tex] \theta [/tex]?

Problem #4
What is the value of [tex] \sin 25^\circ + \sin 65^\circ [/tex]?

Problem #5
In the triangle‎ [tex] ABC [/tex], [tex] \sin B= x [/tex]. What is the value of [tex] \cos C [/tex]?
In the triangle‎ [tex] ABC [/tex], [tex] \sin B= x [/tex]. What is the value of [tex] \cos C [/tex]?

Problem #6
If [tex] \tan \theta = \frac{4}{3} [/tex] and [tex] 0 \le \theta \le 90^\circ [/tex], what is the value of [tex] \cos \theta [/tex]?

Problem #7
If [tex] \sin \theta = \frac{12}{13} [/tex], what is the value of [tex] \cot \theta [/tex]?

Problem #8
Calculate [tex] \sin 37^\circ + \cos 53^\circ = ?[/tex]

Problem #9
Let [tex] \sin \theta =0.2 [/tex] and [tex]0 \le \theta \le 90^\circ[/tex]. Find [tex]\cos ^2 \theta = ?[/tex]

Problem #10
If [tex]\tan \theta =\frac{\sqrt{2}}{2}[/tex], what is the value of [tex]\cot \theta[/tex]?




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