Question

if cosectheta.costheta=1,then the value of theta is
a)30
b)60
c)90
d)45

Answer 1

ϴ=45°

process↓

cosecϴ×cosϴ=1

or,1/sinϴ ×cosϴ [i.e.cosecϴ=1/sinϴ]

or, 1×cosϴ/sinϴ=1

[i.e. 1 and cosϴ are numerators so they multiply]

or, cosϴ/sinϴ =1

or, cotϴ=1

or, cotϴ=cot45°

•°•ϴ=45° [cot of both sides are cancelled out]