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We know sin(A + B) = sinA * cosB + cosA * sinB. Given sinA = 3/5, cosA = √(1 - sin²A) = √(1 - (3/5)²) = √(1 - 9/25) = √(16/25) = 4/5. Also, cosB = 12/13, so sinB = √(1 - cos²B) = √(1 - (12/13)²) = √(1 - 144/169) = √(25/169) = 5/13. Now, sin(A + B) = (3/5)(12/13) + (4/5)(5/13) = 36/65 + 20/65 = 56/65.
Given below are a few sentences with one blank in each. Below each sentence are given four words among which one word might fill the blank. If none o...
The continuous cycling of water among _______ three forms _________ the total amount of water on the earth constant even when the whole world is using it.
The proposed digitisation of manuscripts at the Oriental Research Institute (ORI) in Mysuru has __________ traction with the University of Mysore takin...
Gem polishing has emerged _____ the ______ child labour-intensive industry in the country.
...When the project started to _______, they brought in a new manager.
The reason they have given for __________ the principal is hardly convincing.
In the following question a sentence is given with a blank. Choose the most appropriate option to make the sentence contextually and grammatically co...
Fill in the blank by choosing he correct form of the Verb.
By the time I met him, he __________ reading the voluminous novel.
Select the most appropriate option to fill in the blank
The two students have been engaged in a bitter ……… for two hours.
...Directions: In each of the following sentences, a blank is given. Choose the most appropriate option from the provided choices to fill in the blank a...
