1. If $$sin θ + cosec θ = 2$$, then the value of $$sin^{2} θ + cosecs^{2} θ$$ is :
Write Comment
Comments
By: anil on 05 May 2019 01.57 am
we need to find : $$sin^{2} θ + cosec^{2} θ$$ Given that :$$sin θ + cosec θ = 2$$
So squaring both sides $$(sin θ + cosec θ )^2= (2)^2$$
$$ sin^2 heta + cosec^2 heta + 2sin heta cosec heta$$ = 4 $$ sin^2 heta + cosec^2 heta $$ = 4-2 = 2
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
So squaring both sides $$(sin θ + cosec θ )^2= (2)^2$$
$$ sin^2 heta + cosec^2 heta + 2sin heta cosec heta$$ = 4 $$ sin^2 heta + cosec^2 heta $$ = 4-2 = 2