Write the value of sin(25-a)-cos(65+a)?

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Answer 1 · 2018-03-24T08:53:14

#0#

We know that,

#color(red)((1). sin(90-theta)=costheta#

#T=sin(color(blue)(25)-a))-cos(65+a)#

#=sin[(color(blue)(90-65))-a]-cos(65+a)#, where, #color(blue)((90-65)=25#

#=sin[90-(65+a)]-cos(65+a)#

#=color(red)(cos (65+a))-cos(65+a)#,.....using #color(red)((1)#

#=cancelcos (65+a)-cancelcos(65+a)#,

#=0#