False, Defense: L.H.S \[=\text{ }\left( tan\text{ }\theta +2 \right)\text{ }\left( 2\text{ }tan\text{ }\theta +1 \right)\] \[=\text{ }2\text{ }tan2\text{ }\theta \text{ }+\text{ }tan\text{ }\theta...
Exercise 8.2
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If cosA + cos2A = 1, then sin2A + sin4A = 1.
True: Reason: As indicated by the inquiry, \[cos\text{ }A+cos2\text{ }A\text{ }=\text{ }1\] i.e., \[cos\text{ }A\text{ }=\text{ }1-cos2\text{ }A\] Since, \[sin2\text{ }\theta +cos2\text{ }\theta...
√((1– cos2θ) sec2 θ)= tan θ
Solution: True, reason:
The value of the expression (sin 80° – cos 80°) is negative.
False, Defense: We realize that, sin θ increments when 0° ≤ θ ≤ 90° cos θ diminishes when 0° ≤ θ ≤ 90° What's more, (sin 80°-cos 80°) = (expanding esteem diminishing worth) = a positive worth....
The value of the expression (cos223° – sin267°) is positive.
False, Reason: Since, \[\left( a2-b2 \right)\text{ }=\text{ }\left( a+b \right)\left( a-b \right)\] \[cos2\text{ }23{}^\circ \text{ }\text{ }sin2\text{ }67{}^\circ \text{ }=\left( cos\text{...
Write ‘True’ or ‘False’ and justify your answer in each of the following:
1. tan 47o/cot 43 ° = 1 Valid Legitimization: Since, tan (90° - θ) = bed θ