The function \( f \) is defined by \( y=a \cos k(x-b) \) or \( y=a \sin k(x-b) \), where \( k>0 \) and \( b \geq 0 \). The function \( g \) is defined by \( y=\tan c(x-d) \), where \( c>0 \) and \( d>0 \). Use the graphs of \( f \) and \( g \) to answer the following question. If we consider the graph of \( f \) as a cosine curve in the \( x \)-axis Which of the following will represent the value of \( b \) ? Choose the correct option.

\begin{tabular}{|l|} 3. Решите уравнение. В ответе напишите \\ наибольший отрицательный корень. \\ \( \sin \frac{\pi(4 x+5)}{6}=-0,5 \)\end{tabular}

Given that \( \theta \) is an obtuse angle and \( \operatorname{cosec} \theta=k \), express, in terms of \( k \) (a) \( \cot \theta \)

b) \( 3\left(\cos ^{4} x+\sin ^{4} x\right)-2\left(\cos ^{6} x+\sin ^{6} x\right)=1 \)

35. Diketahui segitiga ABC siku-siku di \( \mathrm{B}, \mathrm{a}=8 \mathrm{~cm} \) dan \( \mathrm{c}=6 \mathrm{~cm} \), maka nilai \( \cos A=\cdots \) a. \( \frac{4}{3} \) b. \( \frac{4}{5} \) c. \( \frac{5}{3} \) d. \( \frac{3}{5} \) e. \( \frac{3}{4} \)

En el triángulo rectángulo \( A B C \) de la siguiente imagen, se cumple que \( \cos \beta=\frac{1}{2} \).