Question

if sin 33 = k then find cos 57 and tan 57​

Answer 1

Step-by-step explanation:

Given If sin 33 = k then find cos 57 and tan 57

• Given sin 33 = k
•           sin (90 – 57) = k
•            cos 57 = k (since sin (90 – theta) = cos theta
•                 Squaring both sides we get
•                      cos^2 57 = k^2
•                    We have (1 – sin^2 theta) = cos^2 theta  
•                    (1 – sin^2 57) = k^2
•                        sin^2 57 = 1 – k^2
•                         sin 57 = √1 – k^2
•         Now tan theta = sin theta / cos theta
•                    tan 57 = sin 57 / cos 57
•                               = √1 – k^2 / k

Reference link will be

https://brainly.in/question/14286321