Math, asked by sonal75, 7 months ago

find
a.sin^2 60°+sin^2 45°
b.3coe^2 30°+tan^2 60°​

Answers

Answered by padmavathinandam
1

Answer:

a.) 5/4 b) 21/4

Step-by-step explanation:

sin^2 60+sin^2 45

(√3/2)^2+(1/2)^2

3/4+1/2

3+2/4=5/4

b) 3(√3/2)^2+(√3)^2

3*3/4+3

9/4+3/1=9+12/4

=21/4

Answered by arav821
0

Answer:

a.answer = 1

b.answer= 12

Step-by-step explanation:

 \sin {}^{2} ( 60 )  =  |  \frac{ \sqrt{3} }{2}  |  {}^{2}  =  \frac{3}{4}

 \sin {}^{2} (45)  =  | \frac{1}{ \sqrt{2} } |  {}^{2}  =  \frac{1}{4}

therefore  \\  \sin {}^{2} (60) +  \sin {}^{2} (45)   =  \frac{3}{4}  +  \frac{1}{4}  =  \frac{4}{4}  = 1

é

3 \cot {}^{2} (30)  +  \tan {}^{2}  (60)  = 3 \times  | \sqrt{3} |  {}^{2} +  | \sqrt{3} |  {}^{2}  = 3 \times 3 + 3 = 9  + 3 = 12

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