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If `sin theta=11/61`, ffind the value of `cos theta` using trigonometric identity. |
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Answer» `sin theta=11/61`………(Given) `sin^(2) theta+cos^(2) theta=1`………(Identity) `:.(11/61)^(2)+cos^(2) theta=1` `:.cos^(2) theta=1-(11/61)^(2)` `:.cos^(2) theta=1-121/3721` `:.cos^(2) theta=(3721-121)/3721` `:.cos^(2) theta=3600/3721` `:.cos theta=60/61` .............(Taking square roots of bothh the sides) `cos theta=60/61` |
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