Question

Value of Sin^2(15)° + Sin^2(30)° + Sin^2(45)° + Sin^2(60)° + Sin^2(75)° is​

Answer 1

Step-by-step explanation:

Sin^2 15° +sin^2 (90-60) +sin^ 45° +sin^2 60° +sin^2 (90-15)

=[ sin^2 15° +cos^2 60° +sin^2 45°+sin^2 60° +cos^2 15°]

={sin^2 15° +cos^2 15°} +{sin^2 60 +cos^2 60} +sin^45°

\begin{lgathered}= 1 + 1 + \frac{1}{ \sqrt{2} } \\ = 2 \: + \frac{1}{ \sqrt{2} } ans\end{lgathere

rate it .

Answer 2

Answer:

By using concept of complementary angles

replace Sin^2 75 with cos^2 15 etc.

= (sin^2 15+cos^2 15)+(sin^2 30+cos^2 30)+ sin^2 45

= 1+1+(1√2)^2

= 2+1/2

=5/2