Studdy AI Logo
Math  /  Trigonometry

Question8. Determine the exact value of each trigonometric ratio. a) sin⁡4π3\sin \frac{4 \pi}{3} b) cos⁡300∘\cos 300^{\circ} c) tan⁡(−570∘)\tan \left(-570^{\circ}\right) d) csc⁡135∘\csc 135^{\circ} e) sec⁡(−3π2)\sec \left(-\frac{3 \pi}{2}\right) f) cot⁡23π6\cot \frac{23 \pi}{6}

Studdy Solution
a) sin⁡(4π/3)=−3/2\sin(4\pi/3) = -\sqrt{3}/2 b) cos⁡(300∘)=1/2\cos(300^\circ) = 1/2 c) tan⁡(−570∘)=−1/3\tan(-570^\circ) = -1/\sqrt{3} d) csc⁡(135∘)=2\csc(135^\circ) = \sqrt{2} e) sec⁡(−3π/2)\sec(-3\pi/2) is undefined f) cot⁡(23π/6)=−3\cot(23\pi/6) = -\sqrt{3}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord