Question

Statement I : sinθ=x+1x is impossible for any real 'x' .
Statement II : If 3π4<α<π , then 2cotα+1sin2lpha =1+cotα

Answer 1

$\tt\underline\red{ANSWER}$

statement1: let x=1

sinθ=1+1/1

sinθ=2 is not possible

statement 2: let α =150⁰

L.H.S= ±(1 - √3)

R.H.S= 1 - √3

L.H.S≠R.H.S

Answer 2

Answer:

$\huge\tt\underline\pink{STATEMENT:‐sinθ=x+1x is impossible for any real 'x'}$

$\huge\fbox\red{ LET X=1}$

$\huge\fbox\red{2 IS NOT POSSIBLE}$

$\huge\tt\underline\red{ If 3π4<α<π , then 2cotα+1sin2lpha =1+cotα}$

$\huge\fbox\pink{ LET α=150⁰}$

$\huge\fbox\pink{L.H.S=±,(1–root 3}$

$\huge\fbox\pink{R.H.S 1– root 3 }$