sin(270∘−θ)=−cosθcos(270∘−θ)=−sinθtan(270∘−θ)=cotθcot(270∘−θ)=tanθsec(270∘−θ)=−cscθcsc(270∘−θ)=−secθ Answer and Explanation:1
Find the exact value of csc(\theta) given cos (\theta) = -\dfrac{1}{5}, \: 90^o < 0 < 180^o. Let \sin\theta = \frac{\sqrt{5{3}, where \theta is obtuse. a. Which quadrant is \theta in? b. Find \cos\theta and \tan\theta. c. Find the measure of \the...
If \tan \theta = \frac{4}{3}, \ 0 \leq \theta \leq \frac{\pi}{2} , then find the exact value of: a) \sin \theta , b) \cos \theta , c) \sec \theta , and d) \csc \theta .Given that theta is an acute angle and cot theta = 12/5, find the exact value...
Given sin theta = 2/3; 180 degrees is greater than theta is greater than 270 degrees, find the exact value of cos theta. If sin theta = - 12/13; 270 deg < theta < 360 deg, find theta. If cos theta = {square root 3} / 2, find cos^2 theta. Find exact...
The sine function, {eq}f(x) = \sin(x) {/eq}, is one of the six trigonometric functions. The sine maybe defined in terms of other trigonometric functions, for example as {eq}\sin(x )= \frac{1}{\csc(x)} {/eq}, or in the context of the right triangle as {eq}\sin(x ...
Find the value of the expression. sin (\pi/3) csc (\pi/3) Find the exact values without using a calculator: (a) \cos [\sin^{-1} (\frac {2}{3})] (b) \sin [\cos^{-1} (\frac {-1}{3})] (c) \tan^{-1} (\tan 0.63) Find the exact value of each expression....
Find the exact value of sin 2 theta if cos theta = {4/5} (theta in quadrant I)If \tan \theta = \frac{4}{3}, \ 0 \leq \theta \leq \frac{\pi}{2} , then find the exact value of: a) \sin \theta , b) \cos \theta , c) \sec \theta , and d) \...
eq} and {eq}\dfrac{\pi }{2} {/eq}, the values of {eq}\arctan {/eq} range varies. The one-one and onto condition must need to be satisfied by {eq}\arctan {/eq}. Check the value of {eq}x {/eq} in between the mentioned range. This resultant value is the princ...
If tanα=512 and secα=−1312, then find the exact value of cscα. Trigonometric Functions in Quadrant: The location on an angle in a quadrant is very important since it indicates the sign of a trigonometric function. For this problem, tanα is positive...
\csc \dfrac{5\pi}{3} Use reference angles to find the exact values of sin 330 deg. Use reference angles to find the exact values of sin 5pi / 6. Use the reference angle to find the exact value of the expression. Do not use a calculator. \cos(-45 degrees) Use reference angle ...