Ask a New Question

Question

find the exact value of expression: sin( tan^-1(-radical11/radical5)-cos^-1(radical3/2))
9 years ago

Answers

Reiny
easier than it looks:

cos^-1(radical3/2), means you want the angle Ø
so that cosØ = √3/2
of course you should recognize that as a ratio form our 30-60-90 triangle, and Ø = 30°

for tan^-1 (-√11/√5), construct a triangle in quadrant II so that tanß = -√11/√5
use your calculator to find ß = 180° - 56.012°
= 123.988°

so we have sin(123.988 - 30)
= appr .9976
9 years ago

Related Questions

Express answer in exact form. Find the area of the smaller segment whose chord is 8" long in a ci... Find exact value of the expression. sin( 27pi/4 + 17pi/6) find the exact value of the expression , sin-1(-0.5) Find the exact value of sin 2teta=2 sin teta cos teta given that cos teta =2/3, 0<teta< pi/2 Find the exact value of the product sec teta csc teta given that sin teta=3/5 and cos teta =4/5 1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(<or =)2(delta)pi, find... Find the exact value of csc 4pi/3 What I have determined thus far: 4pi/3 = 60 degrees sin = squ... Find the exact value of cos[cot^-1 (-√3) + sin^-1 (-1/2)]. I'm having trouble with inverses. Plea... Express answer in exact form. Find the area of the larger segment whose chord is 8" long in a cir... Equations express exact relationships, when you solve them, you find specific values that make both...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use