Question and Answers Forum

All Questions      Topic List

Trigonometry Questions

Previous in All Question      Next in All Question      

Previous in Trigonometry      Next in Trigonometry      

Question Number 164488 by mathlove last updated on 18/Jan/22

(1/(sin 30))−(cot 30)^4 −(cot 30)^2 =....  a)sin^2 30                       b)(1/(sin 30))  c)2sin^2 30                    d)(1/(sin^2 30))

$$\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{30}}−\left(\mathrm{cot}\:\mathrm{30}\right)^{\mathrm{4}} −\left(\mathrm{cot}\:\mathrm{30}\right)^{\mathrm{2}} =.... \\ $$$$\left.{a}\left.\right)\mathrm{sin}\:^{\mathrm{2}} \mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{b}\right)\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{30}} \\ $$$$\left.{c}\left.\right)\mathrm{2sin}\:^{\mathrm{2}} \mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{d}\right)\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{30}} \\ $$

Commented by cortano1 last updated on 18/Jan/22

 = 2−((√3))^4 −((√3))^2    =2−9−3=−10

$$\:=\:\mathrm{2}−\left(\sqrt{\mathrm{3}}\right)^{\mathrm{4}} −\left(\sqrt{\mathrm{3}}\right)^{\mathrm{2}} \\ $$$$\:=\mathrm{2}−\mathrm{9}−\mathrm{3}=−\mathrm{10}\: \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com