{eq}\sec \theta = \frac{9}{8}, \tan \theta < 0 {/eq} Signs of Trigonometric Ratios: In trigonometry, a trigonometric ratio can be positive or negative, depending on the quadrant in which it is considered. The standard sign conventions are given below: ...
In the fourth quadrant,Cos is positive, in the first,All are positive, in the second,Sin is positive and in the third quadrant,Tan is positive. This is easy to remember, since it spells "cast". Related Angles The sines, cosines and tangents of some angles are equal to the sines, cos...
IfSinθ=cosθ, find the value ofθ View Solution Ifsinθ+cosθsinθ−cosθ=3andθis an acute angle, then the value of3sinθ+4cosθ8cosθ−3sinθis View Solution Ifsinθ+cosθ=√2, then find the value ofsinθ−cosθ. ...
2 sin θ < 2θ < 2 tan θ. On dividing each term by 2 sin θ: 1 < θ sin θ < 1 cos θ . (Problem 2.) And on taking reciprocals, thus changing the sense: 1 > sin θ θ > cos θ. (Lesson 11 of Algebra, Theorem 5.) On changing the signs, the sense changes again...
\tan \frac{13 \pi}{4} - \cot \frac{7 \pi}{4} = 0 Determine whether the statement is true or false. Justify your answer. sin u / 2 = - square root 1 - cos u} / 2}, when u is in the second quadrant. Determine whether the s...
This same search is evident in the more successfol drama Under Coyote's Eye (Quadrant Editions), by Henry B&d. In poetic prose and evocative stage pictures, Bds$el projects onto the stage the mind of the last male of the yahl Indians, Ishi, who must dcclde whether to father children ...
Then we got Csin(α + arctan(B/A)). Thanks You may need to be careful about the signs of A and B. (Well in this case, just the sign of A.) If A is negative, then so is cos(ϕ), and that puts ϕ in the 2nd or 3rd quadrant. Likes Dank2 FAQ...
\sin \theta is less than \cos \theta for 0^{\circ} is less than \theta is less than 45 ^{\circ} Determine whether the statement is true or false. Justify your answer. \sin \theta is less than \tan \theta in Quadrant...