Question
Find the value of the given trigonometric
expression: (sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60°Solution
(sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60° = {sin 25°cos (90° – 25°) + cos²25°} × sin 30° + cos 60°tan 45°sec 60° Using, cos (90° – A) = sin A = (sin²25° + cos²25°) sin 30° + cos 60°tan45°sec 60° Using, sin²A + cos²A = 1 = {1 × (1/2)} + {(1/2) × 1 × 2} = (1/2) + 1 = (3/2) Hence, option D.
Select the most appropriate meaning of the given word.
Ambiguous
Select the option which is synonym of the given word.
BENEVOLENT
The highest point
Of a vivid red to reddish-orange color
Select the option that can be used as a one-word substitute for the given group of words.
One who is not concerned with right or wrong
The movie was interesting and kept me engaged.
Which of the following is an antonym of "diligent"?
Choose the word opposite in meaning to the given word.
Coherent
- In the following sentence, choose the word similar in meaning to the bold word to fill in the blank.
The scientist proposed a novel solution that t... Find the appropriate answer.
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