Question

Can you explain to me why I got this wrong? And what are the correct answers

Answer 1

To get the true statements, we will be testing the options one by one in order.

First option

`\begin{gathered} \cos (25)=0.9063 \\ \cos (65)=0.4226 \\ \therefore\cos (25)\\e\cos (65) \end{gathered}`

Second option

`\begin{gathered} \cos (25)=0.9063 \\ \sin (65)=0.9063 \\ \therefore\cos (25)=\sin (65) \end{gathered}`

Third option

`\begin{gathered} \sin (25)=0.4226 \\ \cos (65)=0.4226 \\ \therefore\sin (25)=\cos (65) \end{gathered}`

Fourth option

`\begin{gathered} \tan (45)=1 \\ \tan (45)=1 \\ \therefore\tan (45)=\tan (45) \end{gathered}`

Fifth option

`\begin{gathered} \tan (65)=2.1445 \\ \tan (25)=0.4663 \\ \therefore\tan (65)=\tan (25) \end{gathered}`

Hence, the correct options are Options 2, 3, 4.