1.

1 + \operatorname { cos } ( 40 ^ { \circ } + x ) = \operatorname { sin } 30 ^ { \circ }

Answer»

As we know,sin(90°-α) = cosα

∴sin30° = sin(90°-60°) =cos60°∵cos(40°+x) = sin30°⇒cos(40°+x) = cos60°⇒40°+x = 60°⇒x = 20°


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