Prove that cot22(1/2)=√2+1

Steps to prove cot22(1/2)=√2+1

L.H.S

=cot22(1/2)

=cot45/2

=(1+cos45)/sin45

={1+(1/√2)}/(1/√2)

={(√2+1)/2}/1/√2

=√2+1

=R.H.S

Hence cot22(1/2)=√2+1 is proved.

Detail Information:-

Similar Questions For You:-

• Prove that cot22(1/2)=√2+1
• Prove that cotA-tanA/cotA+tanA=cos2A
• Prove that cotA-tanA=2cot2A
• Prove cotA-cosec2A=cot2A