5. Ndërtoni grafikët e \( y=\sin x \) dhe \( y=\cos x \) për \( 0^{\circ} \leq x \leq 180^{\circ} \) në të njëjtin sistem koordinativ. a Me anë të grafikëve të ndërtuar, zgjidhni ekuacionin \( \sin x=\cos x \). b Zgiidhni algjebrikisht të njëjtin ekuacion dhe kontrolloni përgjigjet e kërkesës (a). 6 a Tregoni që pika \( \mathrm{P}(2 \cos \alpha, 2 \sin \alpha) \) ndodhet në një rreth me qendër ( 0,0 ). Gjeni rrezen e këtij rrethi. b Tregoni që pika \( Q(1, \sqrt{3}) \) ndodhet në këtë rreth. Gjeni vlerën e \( \alpha \) për pikën \( Q \).

A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow 46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a degree. Show answer

i) \( \frac{\tan \theta \cot \theta}{\sec \theta} \) equals: A \( \sin \theta \)

6 A plane flies on a true bearing of \( 280^{\circ} \mathrm{T} \) at \( 600 \mathrm{~km} / \mathrm{h} \) after taking off at 1300 hours. To the nearest kilometre, how far north of its starting position is it at 1530 hours?

Solve the equation for exact solutions over the interval \( [0,2 \pi) \) \( 2 \tan 3 x=2 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \left\{\frac{\pi}{12}, \frac{5 \pi}{12}, \frac{3 \pi}{4}, \frac{13 \pi}{12}, \frac{17 \pi}{12}, \frac{7 \pi}{4}\right\} \). (Type an exact answer, using \( \pi \) as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a com B. The solution is the empty set.

4) \( \operatorname{Si} \tan \Phi=\frac{\sqrt{6}}{3} \), donde " \( \Phi \) " es un ángulo agudo, calcular: \( \mathrm{P}=\sqrt{3} \operatorname{Sec} \Phi+\sqrt{2} \operatorname{Csc} \Phi \)