sin(270∘−θ)=−cosθcos(270∘−θ)=−sinθtan(270∘−θ)=cotθcot(270∘−θ)=tanθsec(270∘−θ)=−cscθcsc(270∘−θ)=−secθ Answer and Explanation:1
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 val...
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...
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...
Find the exact value of the csc(-180 degrees). Find the exact value for the following, if possible. sec 90 degrees Find the exact value for the following, if possible. csc 90 degrees Find the exact value of the following: cos(120 degrees - 45 degrees) Determine the exact value of ...
Question: Use the properties of trigonometric functions to find the exact value of the following expression. {eq}\displaystyle \sec^2 80 ^\circ - \tan^2 80 ^\circ {/eq} Evaluating Trigonometric Expressions: Trigonometric functions have v...
sin2(x)+cos2(x)=1sin(x)=1csc(x)cos(x)=1sec(x)tan(x)=sin(x)cos(x) Answer and Explanation:1 Given Data: The given trigonometric function is:cos(θ)=1. Use the trigonometric identity: {eq}{\sin ^2}\left(... ...
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...
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 ...
csc 90 degrees Find the exact value of the expression. cos 120 degree cos 30 degree + sin 120 degree sin 30 degree Find the exact values of the following. cos 270 degrees = 90 degrees, value = 0. Sin 180 degrees = Find the exact value of tan 30 degrees. Find the exact function ...