prove that 4sin30° sin²60° + 3cos60° tan45° = 2sec²60°- cosec²90°
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Answer:
MY DEAR THIS IS THE ANSWER
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Step-by-step explanation:
Solution:-
4 Sin 30°Sin²60°+3 Cos60°tan45°
=>4(1/2)(√3/2)²+3(1/2)(1)
=>4(1/2)(3/4)+3(1/2)
=>12/8+3/2
=>3/2+3/2
=>(3+3)/2
=>6/2
=>3......(1)
RHS:-
2 sec²60°-Cosec²90°
=>2(2)²-1²
=>2(4)-1
=>8-1
=>7-------(2)
From (1)&(2) LHS≠RHS
If RHS may be 2Sec60°-Cosec²90°
=>2(2)-1²
=>4-1
=>3
then LHS =RHS
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