Q.36 - Precalculus Enhanced with Graphing Utilities

Question

$\sin \theta and \cos \theta$ are given .Find the exact value of each of the four remaining trigonometric functions $\sin \theta = \frac{4}{5} ,\cos \theta =-\frac{3}{5}$

Step-by-Step Solution

Answer

The value of  $csc\theta =\frac{5}{4} ,sec\theta =-\frac{5}{3} ,\tan \theta =\frac{-4}{3} and cot\theta =-\frac{3}{4}$

Step 1: Expression

sinθ and cosθ are given .Find the exact value of each of the four remaining trigonometric functions sinθ= 45 ,cosθ=-35 

Step 2: Apply Rules

Apply appropriate mathematical rules step by step.

Step 3: Result

The value of c s c θ = 5 4 , s e c θ = - 5 3 , tan θ = - 4 3 a n d c o t θ = - 3 4