if sintita=3/5 & cos theta=4/5 find the value of sin2tita + cos2tita
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Step-by-step explanation:
Given : sin theta = 3/ 5
cos theta = 4/ 5
sin2theta = 2sin theta cos theta
cos 2 theta = 2 cos square theta - 1
sin2 theta = 2 × 3/5 × 4/ 5
= 24/ 25
cos 2 theta = 2 (4/5)^2 - 1
= 2(16/25) - 1
= 32/25 - 1
= 7/ 25
Final answer = 24/25 + 7/ 25
= 31/ 25
= 1.24
Hope this answer helps
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