Question 7 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

If cos⁡θ + cos⁡ ² θ = 1, the value of sin ² ⁡θ + sin ⁴ ⁡θ is

(a) -1 (b) 0 (c) 1 (d) 2

Transcript

Question 7 If cos⁡𝜃 + cos⁡𝜃 + cos⁡〖2 𝜃〗 = 1, the value of sin^2⁡𝜃 + sin^2⁡𝜃 is (a) −1 (b) 0 (c) 1 (d) 2 Given 𝑐𝑜𝑠⁡𝜃 + 〖𝑐𝑜𝑠〗^2⁡𝜃 = 1 𝑐𝑜𝑠⁡𝜃 = 1 − 〖𝒄𝒐𝒔〗^𝟐⁡𝜽 𝑐𝑜𝑠⁡𝜃 = 〖𝑠𝑖𝑛〗^2⁡𝜃 〖𝒔𝒊𝒏〗^𝟐⁡𝜽 = 𝒄𝒐𝒔⁡𝜽 Now, 〖𝑠𝑖𝑛〗^2⁡𝜃 + 〖𝑠𝑖𝑛〗^4⁡𝜃 = 𝒄𝒐𝒔⁡𝜽 + 〖𝒄𝒐𝒔〗^𝟐⁡𝜽 = 1 So, the correct answer is (c)

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