Math, asked by vasudhahousewife, 2 months ago

sin(45⁰ + ∅) - cos (45⁰-∅) is equal to ? (answer 0 how)​

Answers

Answered by MrMonarque
42

||Solution||

→\;\bold{ \sin45 \cos\theta  +  \cos45  \sin\theta  -  \cos45 \cos\theta -  \sin45  \sin\theta } \\  →\;\bold{\frac{1}{ \sqrt{2} } ( \cos\theta  +  \sin\theta   -  \cos\theta -  \sin\theta )} \\ →\;\bold{ \frac{1}{ \sqrt{2} } (0)} \\ →\;0

→ sin(A+B) = sinA.cosB+cosA.sinB

→ cos(A+B) = cosA.cosB-sinA.sinB

\boxed{\tt{@MrMonarque}}

Hope It Helps You ✌️

Answered by sreyakumari179
2

Step-by-step explanation:

sin(45o+θ)−cos(45o−θ)

⇒sin5ocosθ+cos45osinθ−cos45ocosθ−sin45osinθ

=21(cosθ+sinθ−cosθ−sinθ)

=0.

hope it helps you .

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