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How to do (1 1) of the first compulsory mathematics in senior one?
sinθ+cosθ=√2 & gt; 1

Sinθ0,cosθ& gt; 0

Journal? (sinθ)、log? (cosθ) makes sense

2kπ& lt; θ& lt; 2kπ+π/2,(k∈Z)

(sinθ+cosθ)? =(√2)?

Sin? θ+cos? θ+2sinθcosθ=2

1+2sinθcosθ=2

sin2θ= 1

4kπ& lt; 2θ& lt; 4kπ+π,(k∈Z)

2θ=4kπ+π/2,(k∈Z)

θ=2kπ+π/4,(k∈Z)

sinθ=√2/2=2^(-? ),cosθ=√2/2=? ^(? )

Journal? (sinθ)log? (cosθ)

= log? [? ^(? )] log? [? ^(? )]

=? ?

=?

A proposition is a true proposition.